Question

A tank with dimensions 12 m, 10 m and 8 m is dug and the soil taken out of it is spread uniformly on a field of length = 40 m and breadth = 32 m. The rise in level of the field is ______.

Options

• 7.5 m

• 7.5 cm

• 75 cm

• 75 m

Answer 1

A tank with dimensions 12 m, 10 m and 8 m is dug and the soil taken out of it is spread uniformly on a field of length = 40 m and breadth = 32 m. The rise in level of the field is 75 cm.

Explanation:

The volume of soil dug from the tank is \[12 \times 10 \times 8 = 960\text{ m}^3\]. Spread uniformly over a field of area \[40\text{ m} \times 32\text{ m} = 1280\text{ m}^2\], the rise in level is \[h = \frac{960}{1280} = 0.75\text{ m}\], which is equal to 75 cm.