A prism and a pyramid have the same base and the same height.

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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 ?

1. 1 : 1
2. 1 : 3
3. 3 : 1
4. Cannot be determined

Correct Option: C

Volume of the prism = (Area of the base ) x (Height)
Volume of the pyramid = 1/3 (Area of the base ) x (Height)
Required ratio = [A x H] / [(1/3) x A x H]
Therefore, Ratio of the volumes of the prism and the pyramid = 3 : 1.