Question

how many bricks will be required to build a wall of 8 m long 6 m height 22.5 m thick if each brick measures 25 m long by 11.25 m by 6m

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Number\:of\:bricks\:=\:6400}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\bold\blue{Given:}$

$\bold{ Dimensions\:of\:wall}\begin{cases}\textsf{Length of wall = 8m}\\\textsf{Width of wall = 22.5m}\\\textsf{Height of wall = 6m }\end{cases}$

$\bold{ Dimensions\:of\:brick}\begin{cases}\textsf{Length of brick = 25cm}\\\textsf{Width of brick = 11.25cm}\\\textsf{Height of brick = 6cm }\end{cases}$

To find : Number of bricks

$\rule{300}{2}$

Volume of cuboid = Length × breadth × height

$\rule{300}{2}$

Volume of one brick = (25×11.25×6)${cm}^{3}$

Volume of wall = (800×600×22.5)${cm}^{3}$

Number of bricks = $\frac{Volume\:of\:wall}{Volume\:of\:one\:brick}$

$\therefore$Number of bricks = $\frac{800 × 600 ×22.5}{25 × 11.25 × 6}$

= 6400 bricks

$\therefore\:\underline{\textsf{Number of bricks \textbf{6400}}}.$