Question

If the surface area of a cube is 864 cm square,find the volume of the cubeif the surface area of a cube is 864 cm square,find the volume of the cube.

Answer 1

Hi ,

Let the side of a cube = a cm

It is given that ,

Surface area of the cube = 864 cm²

6a² = 864

a² = 864/6

a² = 144

a = √144

a = 12 cm

Volume of the cube = a³

V = ( 12 cm )³

V = 1728 cm³

I hope this helps you.

: )

Answer 2

Heya !!!





TSA of cube = 864





6×(Edge)² = 864





Edge² = 864/6





Edge² = 144




Edge = ✓144 = 12 cm



Therefore,


Volume of cube = (Edge)³





=> (12)³




=> 1728 cm³






★ HOPE IT WILL HELP YOU ★