Find the prism that has the same volume as the prism in the figure.

Answer to Problem 27PPS
Prism A
Explanation of Solution
Given :
The prisms described have the same height as the prism in the figure.
Prism A: The base is a right
Prism B: The base is a square with side lengths of 4.5 inches.
Prism C : The base is a hexagon with side lengths of 3 inches.
Calculation:
The volume is the product of the area of base (B) and height (h):
Since the heights of all the prisms are equal , for the volume to be equal , the base area B should be equal.
Base area of the given figure:
Base area of Prism A :
So, the volume of Prism A is same as the volume of the given figure.
Chapter 12 Solutions
Glencoe Geometry
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