Question

The volume of a cube is 8000 cm3 . If  the edge is doubled, what will be the new volume​

Answer 1

Here,

The volume of a cube = 8000 cm³.

We know that ,

volume of a cube = l³. { l = one side of a cube }

=> 8000 = l³

=> 20³ = l³

=> 20 = l

=> l = 20 cm.

so the length of the cube = 20 cm.

If the edge is doubled then , l¹= 2 × 20 cm. = 40cm.

So, the new volume = (l¹ )³

= 40³

= 64000 cm³.

Hope this help you dear . ✓✓

Answer 2

Answer:

The new volume is 64000 cm³.

Step-by-step explanation:

Solution:

Volume = 8000 cm³

Edge = Gets doubled

Find the edge of the original cube =

• Consider it y

★ Volume of cube = $\sf{cube}^{3}$

⇒ 8000 = y³

⇒ y = $\sf{\sqrt[3]{8000}}$

⇒ y = 20

Orignal Edge of cube = 20 cm

_______________________________

★ According to the Question,

The edge is doubled.

⇒ 20 × 2

⇒ 40 cm

_______________________________

★ Volume of the doubled edge cube =

⇒ (40)³

⇒ 64000 cm³

Volume = 64000 cm³

Therefore, the new volume is 64000 cm³.