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Chapter 9: Problem 80

Describe how volume is measured. Explain why linear or square units cannot be used.

Short Answer

Expert verified
Volume is a measure of the amount of space a body occupies and is measured in cubic units. This is because volume is a three-dimensional property, and thus requires a three-dimensional unit (cubic units). Linear units and square units only capture one and two dimensions respectively and therefore are insufficient to measure volume.

Step by step solution

01

Definition of Volume

Volume is a three-dimensional quantity that shows the amount of space a body or an object occupies. It's quantified in cubic units (e.g., cubic centimeters, cubic inches, cubic meters, etc.)
02

Explanation of Linear Units

Linear units (such as meters, feet, or inches) measure one-dimensional distances or lengths. For example, the length of a line or the distance between two points.
03

Explanation of Square Units

Square units (such as square meters, square feet, or square inches), are used to measure areas, which are two-dimensional. This could be, for example, the surface area of a planar shape or the face of a 3D object.
04

Explanation of Cubic Units

Cubic units (such as cubic meters, cubic feet, or cubic inches) are used to measure volumes, which are three-dimensional. They indicate the space occupied in three dimensions, length, width and height.
05

Why not to use Linear or Square Units for Volume

Linear or square units cannot be used to measure volume because they only capture one or two dimensions respectively. Volume is a three-dimensional concept - it measures how much 3-dimensional space an object takes up. Using one or two-dimensional units would not fully convey the amount of space occupied.

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