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
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.
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
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.
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.