(a)
Write a formula for the surface area A of the prism.
(a)
Answer to Problem 49PPE
Explanation of Solution
Given :
Calculation:
The surface area is the sum of area of all the sides of the solid (including top and bottom).
The top and bottom of the prism are squares with side s .
So, the area of the top and bottom is
There are 4 sides of the prism and each side is a rectangle with dimensions s and h .
So, the area of each side of the prism is
Hence the surface area of the prism:
(b)
Rewrite the formula to find h in terms of A and s . Find the height of the prism.
(b)
Answer to Problem 49PPE
Explanation of Solution
Given :
s is 10 cm and A is 760
Calculation:
From part (a) , the surface area of the prism is given by :
Solve it for h in terms of A and s :
Given:
s = 10
A = 760
Substitute the values in the equation and find h :
So, the height of the prism is 14 cm.
(c)
Write the formula of surface area A in terms of s only.
(c)
Answer to Problem 49PPE
Explanation of Solution
Given :
Let h = s .
Calculation:
From part (a) , the surface area of the prism is given by :
Given:
h = s
Substitute the value in the equation and find surface area in terms of s only:
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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