Question

the surface area of cube is 384 CM square. find its volume

Answer 1

Given surface area of cube = 384sq.cm

Formula of surface area of cube =${ 6a^2.}$

So, ATQ, 6a^2 = 384cm^2.

or {a^2 }= 384 /6cm^2.

or a^2 = 64cm^2.

or a =√64cm^2.

Therefore a = 8cm

Volume =(side)^3.

= (8 × 8 × 8 )cm^3 = 512cm^3

Answer 2

Given:-

surface area of cube:- 384 sq. cm

To find:-

volume of cube

SoLuTiOn:-

total surface area:- 384 sq. cm

$6 l^2=384$

$l^2= 384/6$

$l^2=64$

$l=8cm$

side of cube= 8cm

______________________________

volume of Cube:-

$side*side*side$

$8*8*8$

$512sq. cm$