Maths-
General
Easy

Question

A cube of 11 cm edge is immersed completely in a rectangular vessel containing the liquid. If the dimensions of the base of the vessel are 12 cm and 15 cm, calculate the rise in the water level?

  1. 7.33
  2. 7.39
  3. 7.00
  4. 7.36

hintHint:

Volume of cube:- a3 where a is side of cube.
Volume of a cuboid = length × breadth × height    [cubic units]
or
Volume of a cuboid = l × b × h    [cubic units]
Where,
l = length
b = breadth
h = height

The correct answer is: 7.39


    • We know that,
    The dimensions of the base of the vessel are 15 cm × 12 cm
    l =15cm
    b = 12cm
    • Consider the rise in the water level = h cm
    • Volume of given cube = (11)3=1331
    • So the volume of cube = volume of the vessel
    • Substituting these values

    1331 = 15 × 12 × h

    • By further calculation

    h = 1331/ (15 × 12)

    • So we get

    h = 1331/ 180 = 7.39 cm

    • Therefore, the rise in the water level is 7.39 cm.
    • Therefore the correct option is b)7.39.

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