Question

the volume of a cube is 0.064 m^2 . Find its surface area.​

Answer 1

Given :

• Volume of the cube = $\bf{0.064 \:m^3 }$.

To Find :

• Surface area.

Solution :

We know that

• $\underline{ \boxed{ \bf{Volume \: of \: Cube = {a}^{ 3} }}}$
• Here , a = Edge

Substituting the given values

$\implies{ \sf {a}^{3} =0.064 }$

$\implies{ \sf {a = \sqrt[3]{0.064} }}$

$\implies{ \sf {a = \sqrt[3]{0.4 \times 0.4 \times 0.4} }}$

$\implies{ \sf {a = \sqrt[3]{0.4^3 } }}$

$\implies{ \underline {\boxed{\tt {a = 0.4 \: m}}}}$

Therefore, Edge is 0.4 m.

We also know that

• $\underline{ \boxed{ \bf{Surface \: area\:of \: Cube = {6a}^{ 2} }}}$
• Here , a = Edge .

$\implies{ \sf{Surface \: area = 6 \times ( 0.4)^2}}$

$\implies{ \sf{Surface \: area = 6 \times 0.4 \times 0.4}}$

$\implies{ \sf{Surface \: area = 6 \times 0.16}}$

$\implies{ \underline{\boxed{ \bf{Surface \: area = 0.96 \: m^2}} }}$

Hence, Surface area of Cube is 0.96 m².