Question

The volume of prism A is 1,536 m3 and the volume of prism B is 375 m3. What is the ratio of their surface area?

Answer 1

The ratio of volumes from A to B is 1536:375

Apply the cube root to each portion.

`\sqrt[3]{1536} \approx 11.537 997\\\\\sqrt[3]{375} \approx 7.211 248\\`

The corresponding side lengths are in ratio 11.537997:7.211248

Square both sides to find the ratio of the surface areas of A to B.

11.537997^2 = 133.125375

7.211248^2 = 52.002098

The final answer is approximately 133.125375 : 52.002098