Concept explainers
(a)
Find the ratio of surface area to the volume for each figure.
(a)
Answer to Problem 42PPE
Ratio
Explanation of Solution
Given:
To keep heating costs for a building, architects want the ratio of surface area to volume to be as small as possible. What is an expression for the ratio of Surface area to volume of each figure?
The figures:
Concept Used:
Surface area of square prism is:
Volume of square prism:
Surface area of Cylinder:
Volume of cylinder:
Calculation:
For square prism:
Ratio:
For Cylinder:
Thus, ratio
(b)
For each figure, find the ratio of surface area to volume when b = 12 ft, h = 18 ft, and r = 6 ft.
(b)
Answer to Problem 42PPE
Explanation of Solution
Given:
To keep heating costs for a building, architects want the ratio of surface area to volume to be as small as possible. What is an expression for the ratio of Surface area to volume of each figure?
The figure:
For each figure, what is the ratio of surface area to volume when b = 12 ft, h = 18 ft, and r = 6 ft.
Concept Used:
Ratio
Calculation:
Ratio
Find the ratio of surface area to volume when b = 12 ft, h = 18 ft, and r = 6 ft.
Thus,
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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