MathematicsThe water tank with length 4m breadth 1.5m and height 1m is completely filled with water, if it is to be emptied using a bucket of capacity 8 litres, find how many times the bucket should be used to empty the tank completely.

The water tank with length 4m breadth 1.5m and height 1m is completely filled with water, if it is to be emptied using a bucket of capacity 8 litres, find how many times the bucket should be used to empty the tank completely.


  1. A
    75
  2. B
    750
  3. C
    300
  4. D
    600 

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    Solution:

    We know that a cuboid is a three-dimensional object with six rectangular faces connected by 8 vertices. It has three different types of sides called length, width parallel to the ground, and height perpendicular to the ground denoted as a and . The size of the space contained in a three-dimensional object is measured by a quantity called volume. The amount of space occupied by a cuboid is the product of length, width, and height. Mathematically, the volume V of a cuboid is
    If the length, width and height are equal, we call the cuboid a cube. The amount of water contained in the space of a 1 cm cube is called 1 milliliter (ml). So 1ml of water is contained in space. So now we will find out how much water is contained in a cube with a side of 1 meter (m).
     The size of the space contained in a 1 m cube is
    V=1m×1m×1m=100cm×100cm×100cm=100000c m 3  
    We know that 1000ml=1litre.  1c m 3   of space contains 1ml= 1 1000 litre  of water. So of  1000000c m 3  space will be contained  1000000ml=1000000× 1 1000 =1000   litre of water.
    We find that a cube with side 1m or  1m 3  of space will contain 1000 litre of water. We are given the question that the water tank has length  l=4m  , breadth  b=1.5m   , height  h=1m  . It is in cuboid shape.
     IMG_256The volume of the cuboid shaped water tank is
    V=lbh=4m×1.5m×1m=6 m 3  
    The total amount of water above water tank contains is
    V l =6×1000litre=6000litre  
    The amount of water that is extracted in one time by the bucket is V b =8  litre. The number of times required to empty the water tank is
    V l V b = 6000 8 =750  
    So, the correct Ans is Option 2.
                  
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