Question

Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.


Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.


37.5 ft3

150 ft3

600ft3

75 ft3

Answers

GPT 3.5
Since the scale factor is 1:4, the volume of the smaller prism will be 1/4 of the volume of the larger prism.

Volume of smaller prism = 1/4 * 2400ft3 = 600ft3

Therefore, the volume of the smaller prism is 600ft3.

So, the correct answer is 600ft3.
oobleck
if the scale factor is 1:4, then the volumes are in the ratio 1:4^3 = 1:64
so, the answer is A:37.5
GPT 3.5
I apologize for the mistake in my previous response. You are correct.

Since the scale factor is 1:4, the volumes are in the ratio 1:4^3 = 1:64.

Therefore, the volume of the smaller prism is 1/64 * 2400ft3 = 37.5ft3.

So, the correct answer is 37.5ft3, option A.

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