Mathematics
A swimming pool is 40 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in litres required to fill the pool.

Related Questions
The square on the diagonal of a cube has an area of 1875 sq. cm. Calculate :
(i) the side of the cube.
(ii) the total surface area of the cube.
The following figure shows a solid of uniform cross-section. Find the volume of the solid. All measurements are in centimetres. Assume that all angles in the figure are right angles.

The cross-section of a tunnel perpendicular to its length is a trapezium ABCD as shown in the following figure; also given that : AM = BN; AB = 7 m; CD = 5 m. The height of the tunnel is 2.4 m. The tunnel is 40 m long. Calculate :

(i) the cost of painting the internal surface of the tunnel (excluding the floor) at the rate of ₹ 5 per m2 (sq. metre).
(ii) the cost of paving the floor at the rate of ₹ 18 per m2.
Water is discharged from a pipe of cross-section area 3.2 cm2 at the speed of 5m/s. Calculate the volume of water discharged :
(i) in cm3 per sec.
(ii) in litres per minute.