(a)
Draw a pyramid with a square base b cm and a height h cm
(a)
Explanation of Solution
Given:
The equation for the volume of a Pyramid is
Concept Used:
This is the square base pyramid with base is b cm and a height h cm.
(b)
Write an equation to find the height.
(b)
Answer to Problem 41PPS
The height of the square based pyramid is
Explanation of Solution
Given:
The equation for the volume of a Pyramid is
Concept Used:
Suppose the pyramid has a volume 72 cubic cm. Write an equation to find the height.
Given: Volume − 72 cubic cm
Formula for volume of a square bases pyramid is
Calculation:
Formula for volume of a square bases pyramid is
So, the height of the square based pyramid is
Thus, the height of the square based pyramid is
(c)
Create a table showing the value of b = 1, 3, 6, 9 and 12
(c)
Explanation of Solution
Given:
The equation for the volume of a Pyramid is
Concept Used:
Create a table showing the value of b = 1, 3, 6, 9 and 12
Calculation:
The table with base and height where showing the value of b = 1, 3, 6, 9 and 12
b | 1 | 3 | 6 | 9 | 12 |
h | 216 | 24 | 6 |
(d)
Write an inequality for the possible lengths of b such that b < h and b > h
(d)
Answer to Problem 41PPS
Explanation of Solution
Given:
The equation for the volume of a Pyramid is
Concept Used:
Write an inequality for the possible lengths of b such that b < h and b > h
Calculation:
The table with base and height where showing the value of b = 1, 3, 6, 9 and 12
b | 1 | 3 | 6 | 9 | 12 |
h | 216 | 24 | 6 |
Thus,
Chapter 5 Solutions
Algebra 1
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