Question

If the volume of a cube is 512 cm3 , then find its side

Answer 1

Answer:

The length of side is 8 cm

Step-by-step explanation:

$\text{Given that the volume of cube }512 cm^3$

we have to find the side of cube.

The volume of cube can be calculated by the formula

$Volume=(Side)^3$

$\text{As volume is given }512 cm^3$

⇒ $(side)^3=512$

$side=(512)^{\frac{1}{3}}=(8^3)^{\frac{1}{3}}$

$side=8^{3\times \frac{1}{3}}=8$

The length of side is 8 cm

Answer 2

Answer:

Side of the cube = 8cm

Step-by-step explanation:

Let side of a cube = a cm

Volume of the cube = 512 cm³

=> a³ = (8 cm)³

$\implies \sqrt[3]{a^{3}}=\sqrt[3]{(8\:cm)^{3}}$

=> a = 8 cm

Therefore,

Side of the cube =a = 8cm

•••♪