The volumes of two similar solids are 1,331 m² and 216 m². The surface area of the larger solid is 484 m². What is the surface area of the smaller solid?
A. 864
B. 288
C.144
D. 68

Respuesta :

The correct answer is A

The surface area of the smaller solid will be 144 m².

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volumes of two similar solids are 1,331 m² and 216 m². The surface area of the larger solid is 484 m².

The sides length  will be

a³ = 1331

 a = 11 m

Then the surface area will be

SA = 4(11²)

SA = 484 m²

Then the surface area of the smaller solid will be

Let x be the surface area of the smaller solid. Then we have

b³ = 216

 b = 6 m

Then the surface area will be

x = 4 (6²)

x = 144 m²

Thus, the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

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