Concept explainers
a.
To write: an equation showing the relationship between side length s and volume V of a cube.
a.
Answer to Problem 58IP
Explanation of Solution
Given information: The volume of a cube equals the side length cubed.
Calculation:
The below equation showing the relationship between side length s and volume V of a cube.
b.
To make: a table of values showing the volume of a cube with side lengths of 1, 2, 4, 8, 16 centimeters.
b.
Answer to Problem 58IP
Explanation of Solution
Given information: The volume of a cube equals the side length cubed.
Calculation:
The table showing the volume of a cube with side lengths of 1, 2, 4, 8, 16 centimeters is shown below.
Side s (centimeters) | Volume ( | |
1 | 1 | |
2 | 8 | |
4 | 64 | |
8 | 512 | |
16 | 4096 |
c.
To make: a conjecture about the change in volume when the side length of a cube is doubled.
c.
Answer to Problem 58IP
Whenthe side length of a cube is doubled, the volume becomes 8 times.
Explanation of Solution
Given information: The volume of a cube equals the side length cubed.
Calculation:
Let s is the side of a cube, and then volume of the cube is:
If the side length is doubled then the new side length will be 2s, so when the side length is 2s, then the volume will be
Hence, when the side length of a cube is doubled, the volume becomes 8 times.
Chapter 4 Solutions
Glencoe Math Accelerated, Student Edition
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