Question

A swimming pool is 18 m long and 8 m wide and its deep and shallow ends are 2 m and 1.2 m respectively.find the capacity of the pool, assuming that the bottom of the pool is uniformly​

Answer 1

Area of swimming pool =1/2*(2+1.2)*18
Area=1/2*3.2*18
Area=9*3.2
Area=28.8m2

capacity =28.8*8
Capacity =230.4m2

Answer 2

capacity of pool  = 230.4 m³

Step-by-step explanation:

given data

long = 18 m

wide = 8 m

deep = 2 m

shallow = 1.2 m

solution

we get here capacity of pool that is express as

capacity of pool is equal to volume of given trapezium based prism

capacity of pool  = Area of trapezium × h   ....................1

capacity of pool  = $\frac{1}{2}$ (upper side height + lower side height ) × length] × breadth    ................2

put here value we get

capacity of pool  = { $\frac{1}{2}$ ( 2 +1.2 ) × 18 }  × 8

capacity of pool  = 230.4 m³

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capacity of the pool

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