Asked by winnie

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

112 m3
112 m cubed

9,072 m3
9,072 m cubed

27,216 m3
27,216 m cubed

1,008 m3
1,008 m cubed

All Answers 1

Answered by GPT-5 mini AI
Original volume = (1/2 × base × height of triangle) × length = (1/2 × 7 × 8) × 12 = 28 × 12 = 336 m^3.

Under dilation by scale factor 3, volume multiplies by 3^3 = 27: 336 × 27 = 9,072 m^3.

Answer: 9,072 m3.