Question

Avbricks has dimensions 10cm×7.5cm×5cm how many minimum qill be required for a wall 50cm long 5cm high and 45cm thick

Answer 1

Answer:

The number of Bricks required are 30.

Explanation:

Given :

Dimension of the brick = 10cm × 7.5 cm × 5 cm

Dimension of the wall = 50 cm × 5 cm × 45 cm

To find :

The number of bricks required for the wall

Solution :

$\sf{Number \: of \: bricks = \dfrac{Volume \: of \: wall}{Volume \: of \: brick}}$

Volume of Bricks -

$\sf{\longrightarrow} \: Volume = length \times breadth \times height \\ \\ \sf{\longrightarrow} \: 10 \times 7.5 \times 5 \\ \\ \sf{\longrightarrow} \: 50 \times 7.5 \\ \\ \sf{\longrightarrow} \: 375 \: {cm}^{3}$

Volume of brick = 375 cm³

$\rule{300}{1.5}$

Volume of wall -

$\sf{\longrightarrow} \: Volume = length \times breadth \times height \\ \\ \sf{\longrightarrow} \: 50 \times 5 \times 45 \\ \\ \sf{\longrightarrow} \: 250 \times 45 \\ \\ \sf{\longrightarrow} \: 11250 \: {cm}^{3}$

Volume of wall = 11250 cm³

$\rule{300}{1.5}$

Number of bricks -

$\sf{\longrightarrow} \: \dfrac{11250}{375} \\ \\ \sf{\longrightarrow} \: 30$

Number of bricks = 30

$\therefore$ The number of Bricks required are 30.

Answer 2

$\huge \boxed{ \fcolorbox{cyan}{red}{Answer : }}$

$\sf{Dimension \: of \: the \: brick}$

$\sf{= 10cm × 7.5 cm × 5 cm}$

$\sf{Dimension \: of \: the \: wall}$

$\sf{50 cm × 5 cm × 45 cm}$

we have to find the number of required the walls

$\rm{no.of \: bricks = \frac{volume \: of \: walls}{volume \: of \: bricks}}$

$\bf \underline \pink{volume \:of \: bricks}$

$\sf{volume = length \times breadth \times height}$

$\sf{10 \times 7.5 \times 5}$

$\sf{50 \times 7.5}$

$\sf{ = 375 {cm}^{2}}$

$\bf \underline \purple{volume \: of \: wall}$

$\sf{volume = length \times breadth \times height}$

$\sf{50 \times 5 \times 45}$

$\sf{ = 11250 {cm}^{2}}$

$\sf{250 \times 45}$

$\tt\underline{now \: no.of \: bricks}$

$\sf{ \frac{11250}{375}}$

$\sf{ = 30}$

$\bf{ \huge{ \boxed{ \green{ \tt{no.of \: bricks = 30 \: }}}}}$