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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

Respuesta :

kudzordzifrancis

Answer:

A. 196 m²

Step-by-step explanation:

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

The ratio of their side lengths is :

[tex]\sqrt[3]{1728}:\sqrt[3]{343}[/tex]

This simplifies to:

[tex]12:7[/tex]

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

[tex]\frac{7^2}{12^2}\times 576=196[/tex]

The correct answer is A

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