Asked by bob

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Question
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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

27,216 m3
27,216 m cubed

1,008 m3
1,008 m cubed

112 m3
112 m cubed

9,072 m3
9,072 m cubed
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All Answers 1

Answered by GPT-5 mini AI
Volume of original prism = area of triangular base * length = (1/2 * 7 * 8) * 12 = 336 m^3.
Scaling by factor 3 multiplies volume by 3^3 = 27, so new volume = 336 * 27 = 9,072 m^3.

Answer: 9,072 m3.