Two similar solids have volumes of 54 cm cubed and 250 cm cubed. The surface area of the smaller solid is 90 cm squared. What is the surface area of the larger solid?
Answer and explanation
Correct answer: D. 250 cm squared
- Step 1: The volume ratio is 54 : 250 = 27 : 125, so the length ratio is 3 : 5.
- Step 2: The area ratio is 9 : 25.
- Step 3: Larger area .
Answer
250 cm squared.
Why not the others: 150 uses the length ratio 5/3, 416.7 uses the volume ratio and 450 multiplies by 5.
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