Question

the volume of a cube is 512cm cube. (i) find the length of a edge (ii) total surface area of a cube.

Answer 1

We have, volume of cube = 512 cm³

Let the edge of cube be a

So, a³ = 512 cm³

=> a³ = 8³ cm³

Taking square root on both sides, we get :-

=> a = 8 cm

Now, Total Surface Area of this cube = 6 × a²

= 6 × 64 = 384 cm²

Hope this helps.....

Answer 2

volume of a cube= 512cm^3
a^3=512 cm^3
a=8cm
length=8cm
T.S.A of cube=6a^2
=6×8×8
=384cm^3