Maths-
General
Easy

Question

How many bricks each of dimensions 25cm x16cm x 10 cm will be needed to build a wall 24 m long, 6m high and 0.4 m thick?

  1. 1440    
  2. 14400    
  3. 4400    
  4. none of these    

hintHint:

We are given the dimensions of brick and wall. We have to find the number of bricks needed to make the wall. We can see that the dimensions are different. So, it is a cuboid. We have to use the formula of volume of cuboid to find the answer.

The correct answer is: 1440


    Let the length, breadth and height of the brick be denoted by A, B, and C respectively.
    A = 25cm
    B = 16cm
    C = 10cm
    Let the length, breadth and height of the wall be denoted as l, b and h respectively.
    l = 24m
    b = 0.4m
    h = 6m
    Let the number of bricks required to make the wall be “N”.
    Now, we will find the volume of bricks and the wall. Both are cuboids so we will use the formula for volume of cuboids.
    Volume = length × breadth × height
    Volume of brick = A × B × C
    = 25 × 16 × 10
    = 4000 cu. cm
    Volume of wall = l × b × h
    = 24 × 0.4 × 6
    = 57.6 cu. m
    We will need to convert the volume of wall into cubic centimeters.
    1 m = 100 cm
    1 cu. m = 106 cm
    So, the volume of wall = 57.6 × 106 cu. cm
    Now, N number of bricks make the wall. So, we can write
    Volume of wall = N × Volume of bricks
    Rearranging we get,
    N × Volume of bricks = Volume of wall
    Dividing both the sides by Volume of bricks
    N space equals space fraction numerator V o l u m e space o f space w a l l over denominator V o l u m e space o f space b r i c k s end fraction
space space space space space equals fraction numerator 57.6 space cross times 10 to the power of 6 over denominator 4000 space end fraction
space space space space equals fraction numerator 57.6 space cross times space 10 to the power of 6 over denominator 4 space cross times space 10 cubed end fraction
space space space space equals space 14.4 space cross times space 10 cubed
space space space space equals space 14400
    So, the number of bricks is 14400.

    For such questions, we should know the formulas of volumes for different shapes.

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