Maths-
General
Easy
Question
A cubical tank 50 cm in length and 36 cm in breadth contain water. A cube of x cm edge is dropped into it and fully immersed. If the rise in water level is 15 cm, solve for x. and hence find the T.S.A of the cubical tank
- 30 ,6200
- 40 , 6200
- 30, 5400
- 40, 5400
Hint:
TSA of cuboid = 2[lb + bh + hl]
TSA of cube = 6x2
Volume of cube = x3
Volume of cuboid = l 
b h
Where , l is length, b is breadth , h is height
x is side of cube
The correct answer is: 30 ,6200
We have given the dimensions of cubical tank
Length l = 50cm
Breadth b= 36cm
The dimensions of cube dropped are
Side = x cm
We have to find the value of x and TSA of cubical tank.
It is given that rise in water level is 15 cm , so it will be the height of the water in the cubical tank
h = 15 cm
Therefore the volume of the cube dropped will be
Volume = l b h
x3 = 50 36 15
= 27000
As 27000 is a cube of 30
x3 = (30)3
therefore, x = 30
The TSA of the cubical tank = 2[lb + bh + hl]
= 2[(50)(36) + (36)(15) + (15)(50)l]
= 2[1800 + 540 + 750]
= 2[3090]
= 6180
Which is approximately equal to 6200.
Therefore, the correct option is a) 30 , 6200.
Therefore the volume of the cube dropped will be
b h 36 15The TSA of the cubical tank = 2[lb + bh + hl]
Which is approximately equal to 6200.
Therefore, the correct option is a) 30 , 6200.
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