MCQ
How many bricks will be required to construct a wall $8m$ long, $6m$ high and $22.5\ cm$ thick if each brick measures $(25\ cm × 11.25 × 6\ cm)?$
- A$4800$
- B$5600$
- ✓$6400$
- D$5200$
✓
Answer
Correct option: C.
$6400$
Volume of the wall $=$ length $×$ breadth $×$ height
$= (8 × 100) × (6 × 100) × 22.5 ...(1m = 100\ cm)$
$=800\times600\times\frac{225}{10}$
$=800\times60\times225$
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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