Question

A swimming pool is $18$ m long and 8 m wide. 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 slopes uniformly.

• A. $230.4$ cu. m.
• B. $420.4$ cu. m.
• C. $340.4$ cu. m.
• D. $190.4$ cu. m.

Answer 1

The correct option is A $230.4$ cu. m.

Given length of 18 m and width of 8 m of pool and upper side 2 m and lower side is 1.2 m

Then capacity of pool =volume of trapezium based prism=Area of trapezium$\times h$ =$\left[\frac{1}{2}\right(uppersidehight+lowersidehight)\times length]\times breadth$=$\left[\frac{1}{2}\right(2+1.2)\times 18]\times 8=230.4m^3$