Question

A machine assembly requires two pyramid-shaped parts. One of the pyramids has the dimensions shown in the figure. The other pyramid is a scaled version of the first pyramid with a scale factor of 4. What is the volume of the larger pyramid?

Answer 1

768 cubic units

Explanation:

Answer 2

Given:
Rectangular pyramid
length: 3 units
width: 2 units
height: 6 units

scale factor: 4

length : 3 x 4 = 12 units
width: 2 x 4 = 8 units
height: 6 x 4 = 24 units

Volume of a rectangular pyramid = lwh/3

V larger pyramid = (12 * 8 * 24)/3
V = 2304 / 3
V = 768 cubic units