Question

the total surface area of a cube is 1176cm. find it volume?

Answer 1

Total surface area of cube = 6a², where 'a' represents side of te cube.

Hence 6a² = 1176

=> a² = 1176 / 6

=> a² = 196

=> a = √ 196 = 14 cm

Hence volume of cube = a³

=> Volume = 14 * 14 * 14 = 2744 cm³

Hence volume of cube is 2744 cm³.

Hope my answer helped !

Answer 2

There are 6 sides to a cube.

Area of the 6 sides = 1176 cm² (Given)

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Find area of 1 side:

Area of 1 side = 1176 ÷ 6 = 196 cm²

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Find Length of 1 side:

Area = Length²

Length² = 196

Length = √196

Length = 14

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Find Volume:

Volume = Length³

Volume = 14³

Volume = 2744 cm³

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Answer: Volume = 2744 cm³