Question

surface area of cube is 384cm.sq.find it's volume​

Answer 1

Answer:

6a^2=384

a^2=64

a=8

volume of cube=a^3

8^3

512cm^3

Answer 2

It is Given that the surface area of the cube is 384 cm².

We need to find the volume of the given cube.

A cube is a solid i.e. it is three dimensional. The three dimensions are length, breath and height. A cube has 6 square faces. All the 6 faces are congruent squares the intersecting edges are perpendicular to each other, so we can find its surface area and volume by simple formula.

Surface area of a cube with side "s" is given by the following formula: 6s²

Surface area = 6s²

⇛ 384cm² = 6s²

⇛ 384cm²/6 = s²

⇛ 64cm² = s²

⇛ √(64cm²) = s

⇛ 8cm = s

The length of the side of the cube is 8 cm

if we know the side of a cube, then we can find its volume with side "s" by the following formula: ( side )³

Volume of the cube = ( side )³

Volume of the cube = ( 8cm )³

Volume of the cube = 512cm³

512 cm³ is the volume of the cube.

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