/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 72 Describe how volume is measured.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 72

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

Short Answer

Expert verified
Volume is measured in cubic units because it accounts for the three dimensions - length, width, and height - that constitute the total space an object occupies. Linear (one dimensional) and area (two dimensional) measurements are not enough for this because they leave out one or two dimensions, respectively.

Step by step solution

01

Understanding Units Measurement

Volume is measured in cubic units. Cubic units constitute length, width, and height. Each of these dimensions is a linear measure, meaning it involves only one dimension. When considering two dimensions, we are looking at area measurements (square units) - length times width. However, to measure the amount of space an object occupies, we need to consider three dimensions - length, width, and height. Hence, cubic units are used.
02

Why not Linear Units?

Linear units, such as meters and feet, measure the length of a line segment in one dimension only. So, they cannot account for the total space an object occupies, which involves three dimensions.
03

Why not Area Units?

Area (square units), measures in two dimensions - length and width. It tells us about the size of the surface of the object. In the context of volume, an object's surface area does not provide enough information. We need not just the surface, but the space an object occupies in three dimensions. Here, area units leave out the dimension of height/depth, hence they cannot be used to measure volume.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The complement of an angle that measures less than \(90^{\circ}\) is an angle that measures more than \(90^{\circ} .\)

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The statement "the sum of \(x\) and \(6 \%\) of \(x\) is at least 80 " is modeled by \(x+0.06 x \geq 80\)

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

When graphing the solutions of an inequality, what is the difference between a parenthesis and a bracket?

What happens to the volume of a sphere if its radius is doubled?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.