Question

Use the image to answer the question.

A triangular prism measures 7 meters in width, 12 meters in length, and 8 meters in height.

If the triangular prism were dilated using a scale factor of 3, what would be the new volume?

(1 point)

Answer 1

Volume of triangular prism = (1/2 * base * height of triangle) * length
= (1/2 * 7 * 8) * 12 = 28 * 12 = 336 m^3.

Scale factor 3 multiplies volume by 3^3 = 27, so new volume = 336 * 27 = 9,072 m^3.