Science and Mathematics for Engineering 6th Edition by John Bird

Exercise 6

A swimming pool is $55 \mathrm {~m}$ long and $10 \mathrm {~m}$ wide. The perpendicular depth at the deep end is $5 \mathrm {~m}$ and at the shallow end is $1.5 \mathrm {~m}$ , the slope from one end to the other being uniform. The inside of the pool needs two coats of a protective paint before it is filled with water. Determine how many
litres of paint will be needed if 1 litre covers $10 \mathrm {~m} ^ { 2 }$ .