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?
- 7.33
- 7.39
- 7.00
- 7.36
Hint:
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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