Question

A solid cube of edge 10cm is melted and cast into a cuboid whose base measures 20cm by 10cm. Find the height of the cuboid .

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

5 cm

Step-by-step explanation:

Given Edge = 10 cm.

We know that volume of the cube = (edge)³

                                                         = 10³

                                                         = 1000 cm³.

Let the height of the cuboid be 'h' cm.

Given that base measures 20 cm by 10 cm.

Volume of cuboid = l * b * h

                              = 20 * 10 * h

                              = 200h cm³

Given that volume of cuboid is equal to volume of cube.

∴ Volume of cuboid = Volume of cube

⇒ 200h = 1000

⇒ h = 1000/200

⇒ h = 5 cm

Therefore, height of the cuboid = 5 cm.

Hope it helps!