Question

The solid cube of Edge 10 cm is melted and cast into a cuboid whose base measure 20 CM by 10 cm. Find the height of cuboid

Answer 1

Answer:

5 cm

Step-by-step explanation:

Volume of Cube = Side³

                            = (10 cm)³

                            = 1000 cm³    ...(1.)

This is melted and cast into the Cuboid. The Volume of Cuboid so made will be equal to the Volume of the Cube.

Let the height of the cuboid be h cm.

Then,

Volume of Cuboid = l × b × h

                               = 20 × 10 × h

                               = 200h      ...(2.)

Equating (1.) and (2.),

We have 200h = 1000

                      h = 1000/200

                      h = 5

Hence, the height of the cuboid is 5 cm.

Answer 2

Answer:

$\huge\boxed{\boxed{5cm}}$

Find the volume of cube

Volume of cube = side × side × side

⇒ Volume = 10 cm × 10 cm × 10 cm

⇒ Volume = 1000 cm³

Find the volume of cuboid

Volume = length × breadth × height

⇒ Volume = 20 cm × 10 cm × h

⇒ Volume = 200 h cm²

Find the height

Volume of cube = volume of cuboid

⇒ 1000 cm³ = 200 cm² h

⇒ h = 1000 cm³ / 200 cm²

⇒ h = 5 cm

The height is 5 cm .