Question

surface area of a cube is 54cm2 find its volume
​

Answer 1

$\sf\huge\bold{Solution}$

Given

Surface area of cube is 54cm²

To Find

Volume of cube

Surface area is the total area occupied by a solid figure including its bottom and top surface.

Now, to find out the volume we first have to calculate its side.

Now ,compare surface area with the given value we would find the side of cube=>

Surface area of cube =6a²

=>6a²=54

=>a²=54/6=9

=>a²=9

a=√9=3

a=3cm

∵ side of cube is 3cm

Now,we have to find its Volume

Volume of cube =(side)³=a³

=>(3)³=27cm³

∴Volume of cube is 27cm³.

Answer 2

Answer:

area of the cube = 6side²

=>54cm²= 6side²

=>9cm²= side²

=>3cm=side

volume of cube= side³

=>3³

=>27cm³

have a great day!!