Question : A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.
Option 1: 2 : 3
Option 2: 3 : 1
Option 3: 1 : 3
Option 4: 3 : 2
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Correct Answer: 3 : 1
Solution :
The base area of the prism = Base area of the pyramid
Height of prism = Height of pyramid
Ratio of volumes of prism and pyramid
=
(
Base area × height) : ($\frac{1}{3}$ × base area × height)
= 3 : 1
Hence, the correct answer is 3 : 1.
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