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# A wall 4 metre long, 3 metre high and 13cm thick is made up of bricks each measuring 20cm $\times$12cm $\times$6.5cm. The number of bricks required is A. 500B. 1000C. 1500D. 2000

Last updated date: 08th Sep 2024
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Hint: In this question we will use some important formulae for finding the volume of the wall. Here we have given some parameters, we will use them to find out the volume of the wall and the volume occupied by a single brick and then we will divide the volume of the wall by volume occupied by a single brick.

Complete Step-by-Step solution:
We know that , a wall and a brick both looks as a cuboid in shape,
Volume of a cuboid = length $\times$ breadth $\times$ height . …….(i)
First we will find out the volume of the wall, we have
Length of wall = 4 metre = 4 $\times$ 100cm = 400 cm
Height of wall = 3 metre = 3 $\times$ 100cm =300 cm, now put these values in equation (i)
$\Rightarrow$ volume of the wall = 400cm $\times$ 13cm $\times$ 300cm .
$\Rightarrow$ volume of the wall = 1560000 cm$^3$. ……….(ii)
$\Rightarrow$ Volume of brick = 20cm $\times$12cm $\times$6.5cm
$\Rightarrow$ volume of brick = 1560 cm$^3$. ………(iii)
$\Rightarrow$ number of bricks = $\dfrac{{volume{\text{ }}of{\text{ }}the{\text{ }}wall}}{{volume{\text{ }}of{\text{ }}one{\text{ }}brick}}$.
$\Rightarrow$ number of bricks = $\dfrac{{1560000c{m^3}}}{{1560c{m^3}}}$= 1000.