Xavier Aptitude Test 2014 Paper

Question : 68 of 103

Marks: +1, -0

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 mthat 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.

528
960
6790
10560
12960

Validate

Solution:

(d) Elevation increases by 1 m for every 2.6 m,

x=\√{2.6^{2}-1}=\√{6.76-1}=\√{5.76}

\;\;\;\=2.4 \ {m}

Now,

{48}/{2.4}=20

The height of the deeper end of the pool is 20 m.
This can be represented as follows:

The total volume of water in the pool

=\ (\ {1}/{2} × 48 \× 20\ ) \× 20+(48 \× 20 \× 1)

10560 \ {m}^{3}

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