Concept explainers
a.
To find: the missing components of table.
a.
Answer to Problem 54IP
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | | |
3s | | |
| | |
| | |
Explanation of Solution
Given information:
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | ||
3s | ||
| ||
|
Calculation : to find the missing elements, multiply and simplify,
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | | |
3s | | |
| | |
| | |
b.
To state: that how the area and volume affected if the side length is doubles and tripled.
b.
Answer to Problem 54IP
When the side length is double the area increases the
Explanation of Solution
Given information:
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | ||
3s | ||
| ||
|
to find the missing elements, multiply and simplify,
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | | |
3s | | |
| | |
| | |
From the above table it can be observed that When the side length is double the area increases the
c.
To state: that how the area and volume affected if the side length is squared and cubed.
c.
Answer to Problem 54IP
When the side length is squared the area also squared and volume also squared and when the side length is cubed the area cubedand the volume cubed.
Explanation of Solution
Given information:
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | ||
3s | ||
| ||
|
to find the missing elements, multiply and simplify,
Side length(units) | Area of square (units square) | Volume of cube (unit cube) |
s | | |
2s | | |
3s | | |
| | |
| | |
From the above table it can be observed that When the side length is squared the area also squared and volume also squared and when the side length is cubed the area cubed and the volume cubed.
Chapter 4 Solutions
Glencoe Math Accelerated, Student Edition
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