Question

Use the image to answer the question.

A 4-sided pyramid with height from the top to base labeled 15 feet, the length of the base labeled 12 feet, and the width of the base labeled 6 feet.

If the above pyramid is dilated using a scale factor of 2, what would be the new volume? To find the volume of a pyramid, use V = l w h3
.

(1 point)
ft.3

Answer 1

Original volume = (l·w·h)/3 = (12·6·15)/3 = 360 ft³.
After dilation by factor 2, volume scales by 2³ = 8, so new volume = 360·8 = 2880 ft³.