Question

find the surface area of a cube of 216 metres square find its volume

Answer 1

Hey mate..
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Given ,

Surface area of a cube = 216 m^2

We need to find its volume .

We know ,

Surface area of a cube = 6(a)^2 ( Where, a is the side of a cube )

Therefore ,

=> 6 (a)^2 = 216

=> a^2 = 216/6

=> a^2 = 36

Therefore, a = 6

Again,

We know ,

Volume of a cube = (a)^3

= (6)^3

= 216 m^3

Therefore, Required Volume of the cube = 216 m^3

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LOL

Answer 2

Hi !!!

This is your answer.

Given :---
Surface area of cube = 216 sq. m.

We know that
surface area of cube = 6 a^2. (where a is length of one side).

Therefore...
6 × a^2 = 216
a^2 = 36
a = 6 m.
Hence the side of cube is 6 m.

Also...

We know that ...
Volume of Cube = a^3
= 6^3
= 216 m^3.

Hence the volume of given cube is 216 cubic metre.

Hope it helps..