Question

how many bricks are required to build a wall 8 M long 10 cm wide 6 m height with bricks if each brick is 15 cm long 10 cm wide and 5 cm height

Answer 1

$Wall \\ l = 8m \: \: \: b = 10m \: \: h = 6m \\ \\ Volume \: of \: cuboid = l \times b \times h \\ V = 8 \times 10 \times 6 \\ V = 480 {m}^{3} \\ \\ Brick \\ l = 15cm \: or \: 0.15m \\ b = 10cm \: or \: 0.10m \\ h = 5cm \: or \: 0.05m \\ \\ Volume \: of \: cuboid = l \times b \times h \\ V = 0.15 \times 0.10 \times 0.05 \\ V = 0.00075 {cm}^{3} \\ \\ number \: of \: bricks \: needed \: = \frac{Volume \: of \: wall}{Volume \: of \: one \: brick} \\ no. \: of \: bricks \: = \frac{480}{0.00075} \\ = \frac{48000000}{75} \\ no. \: of \: Bricks \: = 640000 \: Bricks$

Answer 2

dimensions of the wall = 8m×10cm×6m
=800cm×10cm×600cm
volume of the wall=4800000cubic.cm
dimensions of each brick=15cm×10cm×5cm
volume of each brick=750cubic.cm
no of bricks required to construct the wall=
$\frac{volume \: of \: the \: wall}{volume \: of \: each \: brick} \\ \\ = \frac{4800000}{750 } \\ = 6400bricks$