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)
Responses

1,008 m3

1,008 m cubed

112 m3

112 m cubed

9,072 m3

9,072 m cubed

27,216 m3

27,216 m cubed

Answer 1

Volume original = (1/2)(base)(height) * length = 1/2 * 7 * 8 * 12 = 336 m^3.
Scale factor 3 multiplies volume by 3^3 = 27, so new volume = 336 * 27 = 9,072 m^3.

Answer: 9,072 m3.