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QuizMultiple Choice

Similar Solids

Question 1 • Reading HS- Integrated Math I

Claire built two similar wooden chests in the shape of rectangular prisms. She needed 6 pints of paint to cover the outside of the larger chest fully and 4 pints to cover the outside of the smaller chest. How much more volume does the larger chest contain?

Answer
A
122% more
B
150% more
C
184% more
D
338% more

Explanation

The paint needed is proportional to outside surface area, so the surface-area ratio is 6 ÷ 4 = 1.5. For similar chests, the volume ratio is 1.5^(3/2) ≈ 1.84, meaning the larger chest holds about 184% as much as the smaller one. Strictly, that is about 84% more; choice C appears to use “184% more” when it means “184% as much.”

AI-written and checked against the verified answer.

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