Question

A a
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?

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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 .

Answer 2

let side of a cube be ' x' m

Volume= x³

S.A. = 6x²

216= 6x² =x²=36

=x=36

V = 63=216m³

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