Ch.1 - Matter, Measurement & Problem Solving
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving117
- Ch.2 - Atoms & Elements106
- Ch.3 - Molecules and Compounds128
- Ch.4 - Chemical Reactions and Chemical Quantities56
- Ch.5 - Introduction to Solutions and Aqueous Solutions84
- Ch.6 - Gases112
- Ch.7 - Thermochemistry96
- Ch.8 - The Quantum-Mechanical Model of the Atom60
- Ch.9 - Periodic Properties of the Elements86
- Ch.10 - Chemical Bonding I: The Lewis Model91
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory85
- Ch.12 - Liquids, Solids & Intermolecular Forces51
- Ch.13 - Solids & Modern Materials48
- Ch.14 - Solutions93
- Ch.15 - Chemical Kinetics114
- Ch.16 - Chemical Equilibrium68
- Ch.17 - Acids and Bases137
- Ch.18 - Aqueous Ionic Equilibrium154
- Ch.19 - Free Energy & Thermodynamics91
- Ch.20 - Electrochemistry105
- Ch.21 - Radioactivity & Nuclear Chemistry74
- Ch.22 - Organic Chemistry141
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 145
A cube has an edge length of 7 cm. If it is divided up into 1 cm cubes, how many 1 cm cubes are there?
Guida verificata passo dopo passo1
insert step 1> Calculate the volume of the original cube using the formula for the volume of a cube: \( V = a^3 \), where \( a \) is the edge length of the cube.
insert step 2> Substitute the given edge length of the cube (7 cm) into the formula: \( V = 7^3 \).
insert step 3> Calculate the volume of the original cube.
insert step 4> Since each smaller cube has a volume of \( 1^3 = 1 \) cm\(^3\), the number of smaller cubes is equal to the volume of the original cube.
insert step 5> Determine the number of 1 cm cubes by dividing the volume of the original cube by the volume of one smaller cube.
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Volume of a Cube
The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one edge. For a cube with an edge length of 7 cm, the volume would be 7 cm × 7 cm × 7 cm, resulting in 343 cm³. This concept is essential for understanding how the total space within the cube can be quantified.
Video consigliato:
Percorso guidato
02:35
Constant-Volume Calorimetry
Unit Cubes
Unit cubes are the smallest cubes used to fill a larger volume, typically measuring 1 cm on each side. When determining how many unit cubes fit into a larger cube, the total volume of the larger cube is divided by the volume of a unit cube (1 cm³). This concept helps visualize and calculate the number of smaller cubes that can occupy the same space.
Video consigliato:
Percorso guidato
02:13SI Units
Division of Volume
To find out how many smaller cubes fit into a larger cube, the total volume of the larger cube is divided by the volume of the smaller cube. In this case, dividing the volume of the 7 cm cube (343 cm³) by the volume of a 1 cm cube (1 cm³) gives the total number of 1 cm cubes. This division is a fundamental operation in determining how many discrete units can fit into a given space.
Video consigliato:
Percorso guidato
02:10Scientific Notation in Multiplication and Division
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