The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A) 56 m2

B) 100 m2

C) 500 m2

D) 200 m2

Question

Madalynn Castro

Mathematics

27 April, 05:36

The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A) 56 m2

B) 100 m2

C) 500 m2

D) 200 m2

+4

Answers (1)

Know the Answer?

Kiana Vance · Answer 1

The correct answer is option B) : "100 m2" because:

the ratio of the two solid is 729/125

the ratio of the surface area = (729/125) ^ (2/3) = 81/25

surface area = 25 * 324 / 81 = 100 m 2

The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?A) 56 m2B) 100 m2C) 500 m2D) 200 m2

The volumes of two similar solids are 729 m3 and 125 m3. The surface area of the larger solid is 324 m2. What is the surface area of the smaller solid?

A) 56 m2

B) 100 m2

C) 500 m2

D) 200 m2