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General

Easy

Question

# Surface area of a cube is 443.76 cm^{2} . Find the volume of it?

- 7.6
- 8.4
- 8.6
- 6.4

Hint:

### Volume of a cube = (side)3 [cubic units]

Total Surface Area(TSA) of cube = 6a2

Where, a is side of cube

## The correct answer is: 6.4

- We are given that

Surface area of a cube = 443.76 cm^{2}

- We have to find volume of the cube

6a^{2 }= 443.76

- Divide both sides of equation by 6

- Taking square root of both sides we get,

- Therefore, the volume of the given cube is

Volume = a^{3} = (8.6)^{3}

Volume = 636.056 cm^{3}

- The approximate of the volume is 6.4 from the given options,
- Therefore the correct option is d) 6.4.

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