Mathematics
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.
Related Questions
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.
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.
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.
A hose-pipe of cross-section area 2 cm2 delivers 1500 litres of water in 5 minutes. What is the speed of water in m/s through the pipe ?