Question

Total surface area of a cube is 216 cm square . What will be it's volume?

Answer 1

Answer:

6 a^2 = 216

a^2 = 36                 a = 6

side of cube = 6 cm

Therefore volume = a^3 = 6^3 = 216 cm^3

Answer 2

$\underline{\underline{\bold{Question:}}}$

Total surface area of a cube is 216 cm square . What will be it's volume?

$\tt{Solution:}$

Given :

• The total surface area of a cube = 216 cm².

We know that ,

$\boxed{\bold{T.S.A\:of\:a\:cube=6*(side)^2.}}$

Let the side of a cube be x cm.

So

According to question,

T.S.A = 216 cm².

$\implies\bold{6*x^2=216}\\\\\\\implies\bold{x^2=\dfrac{216}{6}}\\\\\\\implies\bold{x^2=36}\\\\\\\implies\bold{x=\pm\sqrt{36}}\\\\\\\therefore\quad\bold{x=\pm 6.}\\\\\\\textsf{\tt{Possible value of x = 6.}}$

$\boxed{\bold{Volume\:of\:cube=(side)^3.}}$

$\bold{=6^3}\\\\\bold{=216\:cm^3.}\\\\\\\boxed{\boxed{\bold{Volume=216\:cm^3.}}}$