Question

The volumes of two similar solids are 1728 m³ in 343 m³. The surface area of the larger solid is 576 m². What is the surface area of the smaller solid

A. 196 m²
B. 76 m2
C. 1372 m²
D. 392 m²

Answer 1

A. 196 m²

Explanation:

The two similar solids have volumes 1728 m³ and 343 m³.

The ratio of their side lengths is :

`\sqrt[3]{1728}:\sqrt[3]{343}`

This simplifies to:

`12:7`

If the surface area of the larger solid is 576 m², then the surface area of the smaller solid is given by:

`(7^2)/(12^2)* 576=196`

The correct answer is A