Question

if the total surface area of a cube is 216 cm² then find it's volume​

Answer 1

surface area of cube = 6a^2

6a^2 = 216

a = 6cm

volume of cube = a^3 = 216 cm^3

mark me braniliest

Answer 2

Answer:

Hence the volume of a cube is $216\;cm^{3}$

Step-by-step explanation:

As per the data provided in the question,

The given question is as follows.

We have the total surface area of a cube is $216\;cm^{2}$,

We have to find the volume of a cube.

We will use the formula of the total surface area of the cube.

A=$6(a)^{2}$

We will substitute the value in the formula.

$216=6(a)^{2}$

$6(a)^{2} =216$

We will shift 6 from L.H.S to R.H.S,6 is in numerator while shifting R.H.S to the denominator.

$a^{2} =\frac{216}{6}$

We will divide 216 by 6, we get 36.

$a^{2}=36$

We will take the square root

$a=\sqrt{36}$

$a=6$

Also, the volume of cube =$(a)^{3}$

We will substitute the value of a.

$V=(6)^{3}$

$V=6\times6\times6$

The cube root of 6 is 216.

$V=216\;cm^{3}$

Hence the volume of a cube is $216\;cm^{3}$.