Question

A cuboid of length 10cm and breadth 5 cm is melted and cast into identical cubes of side 2cm. What would have been the height of the cuboid if the number of cubes cast = 50.

• A. 7 cm
• B. 10 cm
• C. 8 cm
• D. 4 cm

Answer 1

The correct option is C

8 cm

Let the height of the cuboid be h

Volume of cuboid = 50 $\times$ Volume of cubes.

=$10\times 5\times h=50\times 2\times 2\times 2$

$h=\frac{50\times 2\times 2\times 2}{\text{/}10\times \text{/}5}$

h = 8 cm

$\therefore$ Height of the cuboid = 8cm