Question

Multiple Choice: A prism and a pyramid have identical bases and heights. The volume of the prism is: Twice as large as the pyramid's volume One third as large as the pyramids's volume Three times as large as the pyramid's volume Equal to the pyramid's volume

Answer 1

Three times as large as the pyramid's volume

Explanation:

Let the volume of prism be Vp

Let the Volume of pyramid be Vy

Vp = Base Area * Height .... 1

Vy = Base * Height/3 ....2

From 2;

Vp = BH/3

BH = 3Vy

Since Vp = BH, then;

Vp = 3Vy

This shows that the volume of prism is three times as large as pyramids volume