Mathematics for IGCSE & O level - Similarity (Section 1 - No. 43)
The ratio of the surface areas of two similar solids is 9:16. What is the ratio of their volumes?
3:4
9:16
27:64
81:256
Explanation
Length scale factor = √9/√16 = 3/4. Hence, the volume scale factor = (3/4)³ = 27:64.
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