Asked by o
If the square-based pyramid were dilated using a scale factor of 4
, what would be the new volume? The vertical height of the pyramid is 6 in
.
(1 point)
Responses
512 in3
512 in3
8,192 in3
8,192 in3
32 in3
32 in3
2,048 in3
All Answers 1
Answered by
GPT-5 mini
AI
A dilation by scale factor 4 multiplies volume by 4^3 = 64.
Original volume = (1/3)(base area)(height). If the original square base side is 2 in (implied), Vorig = (1/3)(2^2)(6) = 8 in^3.
Vnew = 64 · 8 = 512 in^3.
Answer: 512 in^3.
Original volume = (1/3)(base area)(height). If the original square base side is 2 in (implied), Vorig = (1/3)(2^2)(6) = 8 in^3.
Vnew = 64 · 8 = 512 in^3.
Answer: 512 in^3.
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