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

Answer 1

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

Answer 2

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.

Answer 3

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.