The height of a horse is usually measured in hands instead of in feet, where 1 hand equals 1/3 ft (exactly). (b) What is the volume in cubic meters of a box measuring 6 ⨉ 2.5 ⨉ 15 hands

검증된 단계별 안내

Convert the dimensions of the box from hands to feet using the conversion factor: 1 hand = 1/3 ft.

Calculate the dimensions of the box in feet by multiplying each dimension in hands by 1/3.

Convert the dimensions from feet to meters using the conversion factor: 1 ft = 0.3048 m.

Calculate the dimensions of the box in meters by multiplying each dimension in feet by 0.3048.

Find the volume of the box in cubic meters by multiplying the converted dimensions in meters together.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another. In this question, it is essential to convert the dimensions of the box from hands to feet, and then to meters, to calculate the volume accurately. Understanding how to perform these conversions is crucial for solving problems involving different measurement systems.

Volume Calculation

Volume is a measure of the amount of space an object occupies, typically calculated by multiplying the length, width, and height of the object. For a rectangular box, the formula is Volume = length × width × height. In this case, once the dimensions are converted to meters, applying this formula will yield the volume in cubic meters.

Cubic Measurement

Cubic measurement refers to the measurement of volume in three-dimensional space, expressed in cubic units such as cubic meters (m³). It is important to understand that volume is derived from multiplying three linear dimensions, and the resulting unit reflects the three-dimensional nature of the space being measured. This concept is fundamental when dealing with physical objects and their capacities.