Question

Find the volume of a cube whose surface area is 216 m square. Is the numerical value of the surface area same as that of its volume?​

Answer 1

Question ::-

Find the volume of a cube whose surface area is 216 m². Is the numerical value of the surface area same as that of its volume?

Given ::-

• Surface area of cube = 216 m²

To find ::-

• volume of cube ?

Solution ::-

For finding surface area of cube , we used

• Surface area = 6 × ${(side)}^{2}$

• 216 = 6 × ${(side)}^{2}$

• $\dfrac{216}{6}$ = ${(side)}^{2}$

• 36 = ${(side)}^{2}$

• $\sqrt{36}$ = side

• 6 = side of cube.

___________

Now , we will find volume of cube

• Volume = ${(side)}^{3}$

• Volume = ${(6)}^{3}$

• Volume = 216 ${cm}^{3}$

Yes , the numerical value of the surface area same as that of its volume .