Question

If the perimeter of a cube is 160cm. Find its volume.

Answer 1

perimeter= 12×a
given, perimeter =160 cm
therefore, a= 160/12= 13.33cm

volume =a^3= (13.33)^3 = 2368.59 cm^3

Answer 2

Therefore,The Volume of Cube is $2370.37 \,cm^{3}$

Step-by-step explanation:

Given;

The perimeter of a cube is $160cm$

∵ For a cube have $12$ equal sides.

∴ The perimeter of a cube is given,

$12a=160$ where $a$ is the side of the cube

⇒$a=\frac{160}{12}$

∴$a=\frac{40}{3}$

We know,

Volume of Cube$=a^{3} =(\frac{40}{3} )^{3}$ $=2370.37$ $cm^{3}$

∴ The Volume of Cube is $2370.37 \,cm^{3}$