18
QuizMultiple Choice

Changing Dimensions of 3-D Figures — Quiz

Question 18 • MASTER COURSE Geometry

The volumes of two similar solids are 210 m cubed and 1 comma 680 m cubed The surface area of the larger solid is 856 m squared What is the surface area of the smaller solid?

Answer
A
214 m squared
B
1034 m squared
C
107 m squared
D
6848 m squared

Explanation

The smaller-to-larger volume ratio is 210 ÷ 1,680 = 1/8. For similar solids, the linear scale factor is the cube root of the volume ratio, so it is 1/2; surface areas scale by the square of that factor, or 1/4. Thus, the smaller surface area is 856 × 1/4 = 214 m², which is choice A.

AI-written and checked against the verified answer.

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