MCQ
How many bricks will be required to construct a wall 8m long, 6m high and 22.5cm thick if each brick measures (25cm × 11.25 × 6cm)?
  • A
    4800
  • B
    5600
  • C
    6400
  • D
    5200

Answer

  1. 6400

Solution:

Volume of the wall = length × breadth × height

= (8 × 100) × (6 × 100) × 22.5 ...(1m = 100cm)

$=800\times600\times\frac{225}{10}$

$=800\times60\times225$

Volume of 1 brick = length × breadth × height

$=25\times\frac{1125}{100}\times6$

$=\frac{1125}{2}\times3$

Required number of bricks $=\frac{\text{Volume}\ \text{of}\ \text{the}\ \text{wall}}{\text{Volume}\ \text{of}\ 1\ \text{brick}}$

$=\frac{800\times60\times225}{\frac{1125}{2}\times3}$

$=\frac{800\times60\times225\times2}{1125\times3}$

$=6400$

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