Option B: 36 : 1 is the ratio of the surface area of Solid A to Solid B
Explanation:
Given that the Solid A is similar to Solid B.
The volume of Solid A is 3240 m³
The volume of Solid B is 15 m³
We need to find the ratio of the surface area of Solid A to Solid B.
Thus, we have,
Dividing the terms, we get,
Taking cube root, we get,
Squaring the ratios, we get,
Thus, the ratio of the surface area of Solid A to Solid B is 36 : 1
Hence, Option B is the correct answer.