Question

The volumes of two similar solids are 8ft^2 and 125ft^2. The surface area of the smaller solid is 4ft^2 . What is the surface area of the larger solid?
A) 25 ft^2 B) 32ft^2 C) 50ft^2 D) 16ft^2

Answer 1

\[\sqrt[3]{V_1/V_2} = \sqrt{A_1/A_2}\]
\[\sqrt[3]{8/125} = \sqrt{4/x}\]
\[2/5 = 2/ \sqrt{x}\]
\[x = 25\]
Answer: A)