Question

What is the surface area in inches of a cube that has a volume of 512 cubic inches?

Answer 1

Target: To find surface area of cube

Ans : 256 square inches

Given:

Volume of a cube = 512 cubic inches

a^3= 512

a^3 = 8x8x8

a = 8 inches

Surface area of the cube = 4 a^2

= 4 x8x8

= 256 square inches

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Answer 2

The surface area of cube is 384 square inches.

Step-by-step explanation:

It is given that volume of the cube is 512 cubic inches.

Volume of a cube is

$V=a^3$

where, a is side length of cube.

Volume of the cube is 512 cubic inches.

$a^3=512$

$a^3=8^3$

On comparing both sides we get

$a=8$

The value of a is 8.

Surface area of a cube is

$A=6a^2$

$A=6(8)^2$

$A=384$

Therefore, the surface area of cube is 384 square inches.

#Learn more

Find the volume of a cube if surface area is 54 cm ^2 solve with example.

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