); } } // Visuals let vizHtml = ""; if (\(("#showViz").checked) { vizHtml += a.vizHtml || ""; if (compositeOn) { vizHtml +=

Composite mode: we combine volumes using Vtotal = V₁ ± V₂.

; vizHtml += barViz("|V₁| (m³)", V1_m3, "|V₂| (m³)", V2_m3); vizHtml += barViz("|Vtotal| (m³)", Vtotal_m3, "L equivalent", m3ToUnit(Vtotal_m3, "L")); } else { vizHtml += barViz("V (m³)", Vtotal_m3, "L equivalent", m3ToUnit(Vtotal_m3, "L")); } } renderViz(vizHtml); // Steps const lenUnit = getLenUnit(); const stepsBlocks = []; // Step block for A const shapeA = SHAPES[getShapeKey()]; if (targetA === "V") { stepsBlocks.push({ title: "Step-by-step (Shape A)", items: [ Convert all dimensions to meters (m)., Use formula: \){esc(shapeA.formulas.V)}., Compute volume in m³, then convert to your chosen unit (\({esc(unitLabel(outUnit))})., Show helpful equivalents (L, mL, cm³, etc.). ] }); } else { stepsBlocks.push({ title: "Step-by-step (Solve for missing dimension — Shape A)", items: [ Convert volume to m³ and other dimensions to meters., Rearrange formula: \){esc(shapeA.formulas[targetA] || "")}., Compute the missing dimension in meters, then convert to \({esc(lenUnit)}. ] }); } // Composite steps if (compositeOn) { stepsBlocks.push({ title: "Composite volume (optional)", items: [ Compute V₁ from Shape A and V₂ from Shape B., Combine: V_total = V₁ ± V₂., Ensure the total is positive (especially when subtracting). ] }); } if (massSteps) stepsBlocks.push(massSteps); renderSteps(stepsBlocks); } catch (e) { showError("Something went wrong. Please check inputs and try again."); } }; // ---------- Presets ---------- const setModeA = (shapeKey, targetKey) => { \)("#shape").value = shapeKey; fillTargets(shapeKey, \(("#target")); \)("#target").value = targetKey; applyShapeUI(shapeKey, targetKey, ""); }; const setModeB = (shapeKey, targetKey) => { \(("#shapeB").value = shapeKey; fillTargets(shapeKey, \)("#targetB")); \(("#targetB").value = targetKey; applyShapeUI(shapeKey, targetKey, "b_"); }; const clearFields = () => { ["d1","d2","d3","extra","vIn","b_d1","b_d2","b_d3","b_extra","b_vIn","rhoVal"].forEach(id => { const el = \)(#\({id}); if (el) el.value = ""; }); }; const applyPreset = (key) => { // reset toggles \)("#compositeOn").checked = false; \(("#densityOn").checked = false; syncStretchPanels(); clearFields(); \)("#lenUnit").value = "cm"; \(("#volUnit").value = "L"; if (key === "cube10cm") { setModeA("cube", "V"); \)("#d1").value = "10"; \(("#lenUnit").value = "cm"; \)("#volUnit").value = "cm3"; } if (key === "aquarium") { setModeA("rectPrism", "V"); \(("#d1").value = "60"; \)("#d2").value = "30"; \(("#d3").value = "40"; \)("#lenUnit").value = "cm"; \(("#volUnit").value = "L"; } if (key === "cylBeaker") { // Solve for height h given V=250 mL and r=3.5 cm setModeA("cylinder", "h"); \)("#lenUnit").value = "cm"; \(("#volUnit").value = "mL"; \)("#d1").value = "3.5"; // radius \(("#vIn").value = "250"; // mL } if (key === "sphere8in") { // diameter 8 in => radius 4 in setModeA("sphere", "V"); \)("#lenUnit").value = "in"; \(("#volUnit").value = "in3"; \)("#d1").value = "4"; } if (key === "holeInBlock") { // Block 10x8x6 cm minus cylinder hole r=1 cm, h=6 cm \(("#compositeOn").checked = true; syncStretchPanels(); \)("#compOp").value = "sub"; setModeA("rectPrism", "V"); \(("#lenUnit").value = "cm"; \)("#volUnit").value = "cm3"; \(("#d1").value = "10"; \)("#d2").value = "8"; \(("#d3").value = "6"; setModeB("cylinder", "V"); \)("#b_d1").value = "1"; \(("#b_d2").value = "6"; } if (key === "massWater") { // 500 mL water, compute mass: V is given -> easiest: use cube solve? We'll treat as "known volume" and any shape isn't needed: // We'll do cylinder with radius 5 cm and solve for height from V=500 mL, then compute mass with rho=1 g/mL. \)("#densityOn").checked = true; syncStretchPanels(); setModeA("cylinder", "h"); \(("#lenUnit").value = "cm"; \)("#volUnit").value = "mL"; \(("#d1").value = "5"; // r \)("#vIn").value = "500"; // mL \(("#rhoVal").value = "1"; \)("#rhoUnit").value = "gml"; } clearOutput(); compute(); }; // ---------- Wiring ---------- const wire = () => { // init targets fillTargets(getShapeKey(), \(("#target")); fillTargets(getShapeKeyB(), \)("#targetB")); applyShapeUI(getShapeKey(), getTargetKey(), ""); applyShapeUI(getShapeKeyB(), getTargetKeyB(), "b_"); syncStretchPanels(); clearOutput(); \(("#shape").addEventListener("change", syncPrimaryUI); \)("#target").addEventListener("change", syncPrimaryUI); \(("#shapeB").addEventListener("change", syncBUI); \)("#targetB").addEventListener("change", syncBUI); \(("#lenUnit").addEventListener("change", () => { syncPrimaryUI(); if (\)("#compositeOn").checked) syncBUI(); }); \(("#volUnit").addEventListener("change", () => { syncPrimaryUI(); if (\)("#compositeOn").checked) syncBUI(); }); \(("#compositeOn").addEventListener("change", syncStretchPanels); \)("#densityOn").addEventListener("change", syncStretchPanels); \(("#compOp").addEventListener("change", clearOutput); // inputs clear on typing [ "#d1","#d2","#d3","#extra","#vIn", "#b_d1","#b_d2","#b_d3","#b_extra","#b_vIn", "#rhoVal","#rhoUnit" ].forEach(sel => { const el = \)(sel); if (!el) return; el.addEventListener("input", clearOutput); el.addEventListener("change", clearOutput); el.addEventListener("keydown", (e) => { if (e.key === "Enter") compute(); }); }); \(("#calculateButton").addEventListener("click", compute); \)("#resetButton").addEventListener("click", () => { // basic defaults \(("#shape").value = "cube"; fillTargets("cube", \)("#target")); \(("#target").value = "V"; \)("#lenUnit").value = "m"; \(("#volUnit").value = "m3"; \)("#compositeOn").checked = false; \(("#densityOn").checked = false; \)("#compOp").value = "add"; \(("#shapeB").value = "rectPrism"; fillTargets("rectPrism", \)("#targetB")); \(("#targetB").value = "V"; \)("#rhoUnit").value = "kgm3"; clearFields(); syncPrimaryUI(); syncBUI(); syncStretchPanels(); \(("#showSteps").checked = true; \)("#showViz").checked = true; clearOutput(); }); // quick picks \]("button.chip").forEach(btn => { btn.addEventListener("click", () => { const p = btn.getAttribute("data-preset"); if (p) applyPreset(p); }); }); // enter in form \(("#volForm").addEventListener("keydown", (e) => { if (e.key === "Enter") compute(); }); }; if (document.readyState === "loading") document.addEventListener("DOMContentLoaded", wire); else wire(); })(); Please provide updated full htaml and js ChatGPT said: Stopped thinking You said: Uploaded image i thiunk it would be a wow factor to have mini SVG diagrams of shapes. Also some of the titles texts are to close to the textbox / dropdown that above them (e.g. ' Solve for (Shape B)' or 'Height (h)'). In addition I want another 2 examples in the Example Problem & Step-by-Step Solution section. Lastly lets add move shapes (see attached screenshot) . here is my current html: . and js: /* ✅ Production-ready JS: Volume Calculator (Shapes + Solve-for-anything + Composite + Density bridge + steps + visual) */ (function () { const NS = "volumeCalc_v1"; if (window[NS]?.isInitialized) return; window[NS] = { isInitialized: true }; const \) = (sel, root = document) => root.querySelector(sel); const \[ = (sel, root = document) => Array.from(root.querySelectorAll(sel)); const esc = (s) => (s ?? "").toString() .replace(/&/g, "&").replace(//g, ">") .replace(/"/g, """).replace(/'/g, "'"); const num = (v) => { const t = (v ?? "").toString().trim().replace(/,/g, ""); if (!t) return NaN; const x = Number(t); return Number.isFinite(x) ? x : NaN; }; const fmt = (x, dp = 8) => { if (!Number.isFinite(x)) return ""; const ax = Math.abs(x); if (ax !== 0 && (ax >= 1e7 || ax < 1e-6)) return x.toExponential(6); const s = x.toFixed(dp); return s.replace(/(\.\d*?[1-9])0+\(/,"\)1").replace(/\.0+\(/,""); }; const clamp = (x, a, b) => Math.min(b, Math.max(a, x)); // ---------- Unit conversions ---------- // Length to meters const LEN_TO_M = { m: 1, cm: 0.01, mm: 0.001, in: 0.0254, ft: 0.3048 }; // Volume (display/input) to m^3 const VOL_TO_M3 = { m3: 1, L: 1e-3, mL: 1e-6, cm3: 1e-6, mm3: 1e-9, in3: Math.pow(0.0254, 3), ft3: Math.pow(0.3048, 3), galUS: 0.003785411784 }; // Density to kg/m^3 const RHO_TO_KGM3 = { kgm3: 1, gcm3: 1000, // 1 g/cm^3 = 1000 kg/m^3 gml: 1000, // 1 g/mL = 1000 kg/m^3 lbft3: 16.01846337 }; // Convert m^3 to a chosen output unit const m3ToUnit = (V_m3, unit) => { const f = VOL_TO_M3[unit] ?? 1; return V_m3 / f; }; const unitLabel = (u) => ({ m3: "m³", L: "L", mL: "mL", cm3: "cm³", mm3: "mm³", in3: "in³", ft3: "ft³", galUS: "US gal" }[u] || u); // Helpful equivalents for lab + intuition const equivalents = (V_m3) => { const L = m3ToUnit(V_m3, "L"); const mL = m3ToUnit(V_m3, "mL"); const cm3 = m3ToUnit(V_m3, "cm3"); const ft3 = m3ToUnit(V_m3, "ft3"); const gal = m3ToUnit(V_m3, "galUS"); return { L, mL, cm3, ft3, gal }; }; // ---------- Shape definitions ---------- // We use up to 3 main dims (d1,d2,d3) plus optional extra. // Each shape provides: // - labels // - target options // - computeVolume(dimsSI) -> V(m^3) // - solveDim(target, dimsSI, V_m3) -> dimension in meters // - formula strings for steps const SHAPES = { cube: { name: "Cube", dims: ["Edge (a)"], map: { a: "d1" }, labels: { d1: "Edge length (a)" }, show: { d1: true, d2: false, d3: false, extra: false }, targets: [{ v: "V", label: "Volume (V)" }, { v: "a", label: "Edge (a)" }], formulas: { V: "V = a³", a: "a = ³√V" }, volume: ({ a }) => Math.pow(a, 3), solve: (target, { a }, V) => { if (target === "a") return Math.cbrt(V); return NaN; }, viz: (vals, unitTxt) => simpleViz("Cube", [a = \){unitTxt("a")}]) }, rectPrism: { name: "Rectangular prism", dims: ["Length (L)", "Width (W)", "Height (H)"], labels: { d1: "Length (L)", d2: "Width (W)", d3: "Height (H)" }, show: { d1: true, d2: true, d3: true, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "L", label: "Length (L)" }, { v: "W", label: "Width (W)" }, { v: "H", label: "Height (H)" } ], formulas: { V: "V = L·W·H", L: "L = V/(W·H)", W: "W = V/(L·H)", H: "H = V/(L·W)" }, volume: ({ L, W, H }) => L * W * H, solve: (target, { L, W, H }, V) => { if (target === "L") return V / (W * H); if (target === "W") return V / (L * H); if (target === "H") return V / (L * W); return NaN; }, viz: (vals, unitTxt) => simpleViz("Box", [L = \({unitTxt("L")}, W = \){unitTxt("W")}, H = \({unitTxt("H")}]) }, cylinder: { name: "Cylinder", dims: ["Radius (r)", "Height (h)"], labels: { d1: "Radius (r)", d2: "Height (h)" }, show: { d1: true, d2: true, d3: false, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "r", label: "Radius (r)" }, { v: "h", label: "Height (h)" } ], formulas: { V: "V = πr²h", r: "r = √(V/(πh))", h: "h = V/(πr²)" }, volume: ({ r, h }) => Math.PI * r * r * h, solve: (target, { r, h }, V) => { if (target === "r") return Math.sqrt(V / (Math.PI * h)); if (target === "h") return V / (Math.PI * r * r); return NaN; }, viz: (vals, unitTxt) => simpleViz("Cylinder", [r = \){unitTxt("r")}, h = \({unitTxt("h")}]) }, sphere: { name: "Sphere", dims: ["Radius (r)"], labels: { d1: "Radius (r)" }, show: { d1: true, d2: false, d3: false, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "r", label: "Radius (r)" } ], formulas: { V: "V = (4/3)πr³", r: "r = ³√(3V/(4π))" }, volume: ({ r }) => (4 / 3) * Math.PI * Math.pow(r, 3), solve: (target, { r }, V) => { if (target === "r") return Math.cbrt((3 * V) / (4 * Math.PI)); return NaN; }, viz: (vals, unitTxt) => simpleViz("Sphere", [r = \){unitTxt("r")}]) }, cone: { name: "Cone", dims: ["Radius (r)", "Height (h)"], labels: { d1: "Radius (r)", d2: "Height (h)" }, show: { d1: true, d2: true, d3: false, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "r", label: "Radius (r)" }, { v: "h", label: "Height (h)" } ], formulas: { V: "V = (1/3)πr²h", r: "r = √(3V/(πh))", h: "h = 3V/(πr²)" }, volume: ({ r, h }) => (1 / 3) * Math.PI * r * r * h, solve: (target, { r, h }, V) => { if (target === "r") return Math.sqrt((3 * V) / (Math.PI * h)); if (target === "h") return (3 * V) / (Math.PI * r * r); return NaN; }, viz: (vals, unitTxt) => simpleViz("Cone", [r = \({unitTxt("r")}, h = \){unitTxt("h")}]) }, pyramid: { name: "Pyramid (rectangular base)", dims: ["Base length (L)", "Base width (W)", "Height (H)"], labels: { d1: "Base length (L)", d2: "Base width (W)", d3: "Height (H)" }, show: { d1: true, d2: true, d3: true, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "L", label: "Base length (L)" }, { v: "W", label: "Base width (W)" }, { v: "H", label: "Height (H)" } ], formulas: { V: "V = (1/3)L·W·H", L: "L = 3V/(W·H)", W: "W = 3V/(L·H)", H: "H = 3V/(L·W)" }, volume: ({ L, W, H }) => (1 / 3) * L * W * H, solve: (target, { L, W, H }, V) => { if (target === "L") return (3 * V) / (W * H); if (target === "W") return (3 * V) / (L * H); if (target === "H") return (3 * V) / (L * W); return NaN; }, viz: (vals, unitTxt) => simpleViz("Pyramid", [L = \({unitTxt("L")}, W = \){unitTxt("W")}, H = \({unitTxt("H")}]) }, triPrism: { name: "Triangular prism (right)", // d1 = base b, d2 = triangle height ht, d3 = prism length L labels: { d1: "Triangle base (b)", d2: "Triangle height (h)", d3: "Prism length (L)" }, show: { d1: true, d2: true, d3: true, extra: false }, targets: [ { v: "V", label: "Volume (V)" }, { v: "b", label: "Triangle base (b)" }, { v: "h", label: "Triangle height (h)" }, { v: "L", label: "Prism length (L)" } ], formulas: { V: "V = (1/2)·b·h·L", b: "b = 2V/(h·L)", h: "h = 2V/(b·L)", L: "L = 2V/(b·h)" }, volume: ({ b, h, L }) => 0.5 * b * h * L, solve: (target, { b, h, L }, V) => { if (target === "b") return (2 * V) / (h * L); if (target === "h") return (2 * V) / (b * L); if (target === "L") return (2 * V) / (b * h); return NaN; }, viz: (vals, unitTxt) => simpleViz("Triangular prism", [b = \){unitTxt("b")}, h = \({unitTxt("h")}, L = \){unitTxt("L")}]) } }; // ---------- UI helpers ---------- const clearOutput = () => { \(("#result").innerHTML = ""; \)("#viz").innerHTML = ""; \(("#steps").innerHTML = ""; \)("#noResultsHint").style.display = "block"; }; const showError = (msg) => { \(("#noResultsHint").style.display = "none"; \)("#result").innerHTML =

⚠️ \({esc(msg)}

; \)("#viz").innerHTML = ""; \(("#steps").innerHTML = ""; }; const setDisabled = (el, isDisabled, placeholder) => { if (!el) return; el.disabled = !!isDisabled; el.style.opacity = isDisabled ? "0.65" : "1"; el.style.pointerEvents = isDisabled ? "none" : "auto"; if (placeholder != null) el.placeholder = placeholder; }; const setWrapVisible = (wrap, yes) => { if (!wrap) return; wrap.style.display = yes ? "flex" : "none"; }; // Simple visual: a clean “card” with labels + tiny bar-ish hint const simpleViz = (title, lines) => { const safe = lines.map(x =>

\){esc(x)}

).join(""); return

Quick visual

; }; const barViz = (labelA, a, labelB, b) => { const A = Number.isFinite(a) ? Math.abs(a) : 0; const B = Number.isFinite(b) ? Math.abs(b) : 0; const max = Math.max(A, B, 1e-12); const wa = clamp((A / max) * 100, 0, 100); const wb = clamp((B / max) * 100, 0, 100); return

Magnitude compare

; }; // ---------- Map UI dims to named dims per shape ---------- const getShapeKey = () => \(("#shape").value || "cube"; const getTargetKey = () => \)("#target").value || "V"; const getLenUnit = () => \(("#lenUnit").value || "m"; const getVolUnit = () => \)("#volUnit").value || "m3"; // For composite B const getShapeKeyB = () => \(("#shapeB").value || "rectPrism"; const getTargetKeyB = () => \)("#targetB").value || "V"; const readDimsSI = (shapeKey, prefix = "") => { const lenUnit = getLenUnit(); const toM = LEN_TO_M[lenUnit] ?? 1; const d1 = num(\((#\){prefix}d1).value); const d2 = num(\((#\){prefix}d2).value); const d3 = num(\((#\){prefix}d3).value); const extra = num(\((#\){prefix}extra).value); // Convert to meters (when present) const d1m = Number.isFinite(d1) ? d1 * toM : NaN; const d2m = Number.isFinite(d2) ? d2 * toM : NaN; const d3m = Number.isFinite(d3) ? d3 * toM : NaN; const extram = Number.isFinite(extra) ? extra * toM : NaN; // Map to named dims const s = SHAPES[shapeKey]; if (!s) return {}; const out = {}; // Shape-specific mapping based on target names in formulas // cube: a=d1 // rectPrism/pyramid: L=d1,W=d2,H=d3 // cylinder/cone: r=d1,h=d2 // sphere: r=d1 // triPrism: b=d1,h=d2,L=d3 if (shapeKey === "cube") out.a = d1m; if (shapeKey === "rectPrism" || shapeKey === "pyramid") { out.L = d1m; out.W = d2m; out.H = d3m; } if (shapeKey === "cylinder" || shapeKey === "cone") { out.r = d1m; out.h = d2m; } if (shapeKey === "sphere") out.r = d1m; if (shapeKey === "triPrism") { out.b = d1m; out.h = d2m; out.L = d3m; } // Extra reserved if you expand later out._extra = extram; return out; }; const readVolumeInM3 = (prefix = "") => { const vu = getVolUnit(); const Vin = num(\((#\){prefix}vIn).value); if (!Number.isFinite(Vin)) return NaN; const f = VOL_TO_M3[vu] ?? 1; return Vin * f; }; // ---------- UI sync for a shape panel ---------- const fillTargets = (shapeKey, targetSel) => { const s = SHAPES[shapeKey]; if (!s) return; const current = targetSel.value; targetSel.innerHTML = s.targets.map(t => \){esc(t.label)}).join(""); // preserve if possible if (s.targets.some(t => t.v === current)) targetSel.value = current; else targetSel.value = "V"; }; const applyShapeUI = (shapeKey, targetKey, prefix = "") => { const s = SHAPES[shapeKey]; if (!s) return; // Labels \((#\){prefix}d1Label).textContent = s.labels?.d1 || "Dimension 1"; \((#\){prefix}d2Label).textContent = s.labels?.d2 || "Dimension 2"; \((#\){prefix}d3Label).textContent = s.labels?.d3 || "Dimension 3"; // Show/hide dimension fields setWrapVisible(\((#\){prefix}d1Wrap), !!s.show.d1); setWrapVisible(\((#\){prefix}d2Wrap), !!s.show.d2); setWrapVisible(\((#\){prefix}d3Wrap), !!s.show.d3); // Extra (unused in current set) const extraWrap = \((#\){prefix}extraWrap); if (extraWrap) extraWrap.style.display = s.show.extra ? "flex" : "none"; // Enable/disable based on target const d1 = \((#\){prefix}d1); const d2 = \((#\){prefix}d2); const d3 = \((#\){prefix}d3); const vIn = \((#\){prefix}vIn); const vInWrap = \((#\){prefix}vInWrap); // default enable everything shown if (d1) setDisabled(d1, false); if (d2) setDisabled(d2, false); if (d3) setDisabled(d3, false); if (vIn) setDisabled(vIn, false); // When target is Volume: volume input computed, dimension inputs required // When target is a dimension: volume input required, that dimension computed if (targetKey === "V") { if (vInWrap) vInWrap.style.display = "none"; if (vIn) vIn.value = ""; // all shown dims enabled } else { if (vInWrap) vInWrap.style.display = "flex"; // Disable the dimension being solved for const disableByTarget = () => { if (shapeKey === "cube" && targetKey === "a") setDisabled(d1, true, "Computed"); if ((shapeKey === "rectPrism" || shapeKey === "pyramid") && targetKey === "L") setDisabled(d1, true, "Computed"); if ((shapeKey === "rectPrism" || shapeKey === "pyramid") && targetKey === "W") setDisabled(d2, true, "Computed"); if ((shapeKey === "rectPrism" || shapeKey === "pyramid") && targetKey === "H") setDisabled(d3, true, "Computed"); if ((shapeKey === "cylinder" || shapeKey === "cone") && targetKey === "r") setDisabled(d1, true, "Computed"); if ((shapeKey === "cylinder" || shapeKey === "cone") && targetKey === "h") setDisabled(d2, true, "Computed"); if (shapeKey === "sphere" && targetKey === "r") setDisabled(d1, true, "Computed"); if (shapeKey === "triPrism" && targetKey === "b") setDisabled(d1, true, "Computed"); if (shapeKey === "triPrism" && targetKey === "h") setDisabled(d2, true, "Computed"); if (shapeKey === "triPrism" && targetKey === "L") setDisabled(d3, true, "Computed"); }; disableByTarget(); } }; const syncPrimaryUI = () => { const shapeKey = getShapeKey(); fillTargets(shapeKey, \(("#target")); const targetKey = getTargetKey(); \)("#shapeHint").textContent = (targetKey === "V") ? "Tip: Enter dimensions to get volume + automatic equivalents." : "Tip: Enter the known volume and the other dimensions — we’ll compute the missing one."; applyShapeUI(shapeKey, targetKey, ""); clearOutput(); }; const syncBUI = () => { const shapeKey = getShapeKeyB(); fillTargets(shapeKey, \(("#targetB")); applyShapeUI(shapeKey, getTargetKeyB(), "b_"); clearOutput(); }; const syncStretchPanels = () => { \)("#compositePanel").style.display = \(("#compositeOn").checked ? "block" : "none"; \)("#densityPanel").style.display = \(("#densityOn").checked ? "block" : "none"; clearOutput(); }; // ---------- Validation + computation helpers ---------- const requireFinite = (val, msg) => { if (!Number.isFinite(val)) { showError(msg); return false; } return true; }; const requirePositive = (val, msg) => { if (!(Number.isFinite(val) && val > 0)) { showError(msg); return false; } return true; }; const computeOneShape = (shapeKey, targetKey, prefix = "") => { const s = SHAPES[shapeKey]; if (!s) return { ok: false }; const dims = readDimsSI(shapeKey, prefix); const V_in_m3 = readVolumeInM3(prefix); // Helpers to build readable unit strings in visual (uses selected units) const lenUnit = getLenUnit(); const unitTxt = (sym) => { // sym maps to dimension names; we read SI dims and convert back to chosen length unit for display const toM = LEN_TO_M[lenUnit] ?? 1; const fromM = 1 / toM; const x = dims[sym]; return \){fmt(x * fromM, 6)} \({lenUnit}; }; // Validate required fields const validateDimsForVolume = () => { if (shapeKey === "cube") return requirePositive(dims.a, "Please enter a valid edge length (a)."); if (shapeKey === "rectPrism" || shapeKey === "pyramid") { return requirePositive(dims.L, "Please enter a valid length (L).") && requirePositive(dims.W, "Please enter a valid width (W).") && requirePositive(dims.H, "Please enter a valid height (H)."); } if (shapeKey === "cylinder" || shapeKey === "cone") { return requirePositive(dims.r, "Please enter a valid radius (r).") && requirePositive(dims.h, "Please enter a valid height (h)."); } if (shapeKey === "sphere") return requirePositive(dims.r, "Please enter a valid radius (r)."); if (shapeKey === "triPrism") { return requirePositive(dims.b, "Please enter a valid triangle base (b).") && requirePositive(dims.h, "Please enter a valid triangle height (h).") && requirePositive(dims.L, "Please enter a valid prism length (L)."); } return true; }; const validateForSolveDim = () => { if (!requirePositive(V_in_m3, "Please enter a valid known volume (V).")) return false; // Need all dims except the target if (shapeKey === "cube") { // solving a only needs V return true; } if (shapeKey === "sphere") { // solving r only needs V return true; } if (shapeKey === "cylinder" || shapeKey === "cone") { if (targetKey === "r") return requirePositive(dims.h, "Please enter a valid height (h)."); if (targetKey === "h") return requirePositive(dims.r, "Please enter a valid radius (r)."); } if (shapeKey === "rectPrism" || shapeKey === "pyramid") { if (targetKey === "L") return requirePositive(dims.W, "Please enter a valid width (W).") && requirePositive(dims.H, "Please enter a valid height (H)."); if (targetKey === "W") return requirePositive(dims.L, "Please enter a valid length (L).") && requirePositive(dims.H, "Please enter a valid height (H)."); if (targetKey === "H") return requirePositive(dims.L, "Please enter a valid length (L).") && requirePositive(dims.W, "Please enter a valid width (W)."); } if (shapeKey === "triPrism") { if (targetKey === "b") return requirePositive(dims.h, "Please enter a valid triangle height (h).") && requirePositive(dims.L, "Please enter a valid prism length (L)."); if (targetKey === "h") return requirePositive(dims.b, "Please enter a valid triangle base (b).") && requirePositive(dims.L, "Please enter a valid prism length (L)."); if (targetKey === "L") return requirePositive(dims.b, "Please enter a valid triangle base (b).") && requirePositive(dims.h, "Please enter a valid triangle height (h)."); } return true; }; if (targetKey === "V") { if (!validateDimsForVolume()) return { ok: false }; const V = s.volume(dims); if (!Number.isFinite(V) || V <= 0) { showError("Inputs produce an invalid volume. Please check values."); return { ok: false }; } return { ok: true, kind: "volume", shapeKey, targetKey, V_m3: V, dims, formula: s.formulas.V, vizHtml: s.viz?.(dims, unitTxt) || "" }; } else { if (!validateForSolveDim()) return { ok: false }; const x_m = s.solve(targetKey, dims, V_in_m3); if (!Number.isFinite(x_m) || x_m <= 0) { showError("Inputs produce an invalid dimension. Check volume and other dimensions."); return { ok: false }; } return { ok: true, kind: "dimension", shapeKey, targetKey, V_m3: V_in_m3, x_m, dims, formula: s.formulas[targetKey] || "", vizHtml: s.viz?.(dims, unitTxt) || "" }; } }; const computeMassFromDensity = (V_m3) => { const rhoRaw = num(\)("#rhoVal").value); if (!Number.isFinite(rhoRaw) || rhoRaw <= 0) return { ok: false, err: "Please enter a valid density (ρ > 0)." }; const rhoUnit = \(("#rhoUnit").value; const rho = rhoRaw * (RHO_TO_KGM3[rhoUnit] ?? 1); // kg/m^3 const m_kg = rho * V_m3; return { ok: true, rho, m_kg }; }; // ---------- Rendering ---------- const renderVolumeResult = (label, V_m3, extraBlockHtml = "") => { const outUnit = getVolUnit(); const Vout = m3ToUnit(V_m3, outUnit); const eq = equivalents(V_m3); // choose 3 best equivalents depending on scale const eqLines = [ \){esc(fmt(eq.L, 6))} L, \({esc(fmt(eq.mL, 6))} mL, \){esc(fmt(eq.cm3, 6))} cm³, \({esc(fmt(eq.ft3, 6))} ft³, \){esc(fmt(eq.gal, 6))} US gal ]; \(("#noResultsHint").style.display = "none"; \)("#result").innerHTML =

\({esc(label)}

; }; const renderDimensionResult = (shapeKey, targetKey, x_m, V_m3, extraBlockHtml = "") => { const lenUnit = getLenUnit(); const fromM = 1 / (LEN_TO_M[lenUnit] ?? 1); const x_out = x_m * fromM; const niceName = { a: "Edge (a)", L: "Length (L)", W: "Width (W)", H: "Height (H)", r: "Radius (r)", h: "Height (h)", b: "Triangle base (b)" }[targetKey] || "Dimension"; \)("#noResultsHint").style.display = "none"; \(("#result").innerHTML =

Solved dimension

; }; const renderSteps = (blocks) => { const showSteps = \)("#showSteps").checked; if (!showSteps) { \(("#steps").innerHTML = ""; return; } const html = blocks.map(b =>

\){esc(b.title)}

\({b.items.map(li =>
1. \){li}
).join("")}

).join(""); \(("#steps").innerHTML = html; }; const renderViz = (html) => { const showViz = \)("#showViz").checked; \(("#viz").innerHTML = showViz ? html : ""; }; // ---------- Main compute ---------- const compute = () => { clearOutput(); try { const a = computeOneShape(getShapeKey(), getTargetKey(), ""); if (!a.ok) return; let Vtotal_m3 = NaN; let V1_m3 = NaN; let V2_m3 = NaN; const compositeOn = \)("#compositeOn").checked; if (a.kind === "volume") V1_m3 = a.V_m3; else V1_m3 = a.V_m3; // if solving a dim, V is given; still usable if (compositeOn) { const b = computeOneShape(getShapeKeyB(), getTargetKeyB(), "b_"); if (!b.ok) return; V2_m3 = (b.kind === "volume") ? b.V_m3 : b.V_m3; const op = \(("#compOp").value; Vtotal_m3 = (op === "sub") ? (V1_m3 - V2_m3) : (V1_m3 + V2_m3); if (!(Number.isFinite(Vtotal_m3) && Vtotal_m3 > 0)) { return showError("Composite volume is not positive. If subtracting, ensure V₁ > V₂."); } } else { Vtotal_m3 = V1_m3; } // Density block (mass) let massBlockHtml = ""; let massSteps = null; if (\)("#densityOn").checked) { const m = computeMassFromDensity(Vtotal_m3); if (!m.ok) return showError(m.err); const m_g = m.m_kg * 1000; const m_lb = m.m_kg / 0.45359237; massBlockHtml =

Mass from density:

ρ = \({esc(fmt(m.rho, 6))} kg/m³

m = \){esc(fmt(m.m_kg, 8))} kg

= \({esc(fmt(m_g, 8))} g  •  \){esc(fmt(m_lb, 8))} lb

; massSteps = { title: "Mass from density (optional)", items: [ Convert density to SI: ρ in kg/m³, Compute mass: m = ρ·V, Convert mass to g and lb (optional) ] }; } // Output: // - If target is dimension -> show dimension result, but also show (composite) volume context. // - If target is volume -> show volume result. const targetA = getTargetKey(); const outUnit = getVolUnit(); if (targetA === "V") { // Show composite volume if enabled, otherwise V1 const label = compositeOn ? "Composite volume (Vtotal)" : Volume (\({SHAPES[getShapeKey()].name}); renderVolumeResult(label, Vtotal_m3, massBlockHtml); } else { // Dimension result uses A's dimension x_m, but show that volume context is composite total renderDimensionResult(getShapeKey(), targetA, a.x_m, a.V_m3, compositeOn ?

Composite total volume: \){esc(fmt(m3ToUnit(Vtotal_m3, outUnit), 8))} \({esc(unitLabel(outUnit))}

: "" + massBlockHtml ); // If composite is on AND density is on, we already included massBlockHtml. Ensure it appears: if (compositeOn && \)("#densityOn").checked && !\(("#result").innerHTML.includes("Mass from density")) { // Safe append \)("#result").innerHTML = \(("#result").innerHTML.replace("