MBApyq

Volume of Swimming Pool

XAT 2014 · Quantitative Ability & Data Interpretation · Medium · Mensuration

All XAT 2014 questionsMore Mensuration questionsAll XAT QADI

A rectangular swimming pool is 48 m long and 20 m wide. The shallow edge of the pool is 1 m deep. For every 2.6 m that one walks up the inclined base of the swimming pool, one gains an elevation of 1 m. What is the volume of water (in cubic meters), in the swimming pool? Assume that the pool is filled up to the brim.

  1. A.

    528

  2. B.

    960

  3. C.

    6790

  4. D.

    10560

  5. E.

    12960

Answer

D

Explanation

Slope ratio: 2.62=12+b2  ⟹  b2=6.76−1=5.76  ⟹  b=2.42.6^2 = 1^2 + b^2 \implies b^2 = 6.76 - 1 = 5.76 \implies b = 2.4. For length 4848 m, gain in elevation =48/2.4=20= 48 / 2.4 = 20 m. Deep end depth =1+20=21= 1 + 20 = 21 m. Cross-sectional area =Rectangle(48×1)+Triangle(12×48×20)=48+480=528 m2= \text{Rectangle}(48 \times 1) + \text{Triangle}(\frac{1}{2} \times 48 \times 20) = 48 + 480 = 528 \text{ m}^2. Volume =528×20=10560 m3= 528 \times 20 = 10560 \text{ m}^3.

Related Mensuration questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace