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XAT 2020 — QA & DI Question 6

Basics of Mensuration/PrismEasy

A rectangular swimming pool is 50 meters long and 25 meters wide. Its depth is always the same along its width but linearly increases along its length from 1 meter at one end to 4 meters at the other end. How much water (in cubic meters) is needed to completely fill the pool?

Answer & solution

  • A

    3750

  • B

    2500

  • C

    1250

  • D

    1874

  • 3125

Solution

​​​​​​​

Volume of the tank = Volume of the cuboid + Volume of the triangular prism

The volume of cuboid will be 50 × 25 × 1 = 1250

The volume of triangular prism = Area of triangle × width = 1/2 × 3 × 50 × 25 = 1875

∴ Total volume = 1875 + 1250 = 3125.

Hence, option (e).

XAT 2020 QA & DI Q6: A rectangular swimming pool is 50 meters long and 25 meters wide. Its depth is always the same along its width — Solution | TheCATExam