Question

A brick has a length of $20$ cm, a width of $10$ cm, and a height of $6$ cm. How many bricks would we need to build a cuboid monument of length $17$ m, width $12$ m, and height $9$ m?

• A. $153,000$ cu cm
• B. $150,000$ cu cm
• C. $1,530,000$ cu cm
• D. None of the above

Answer 1

The correct option is C $1,530,000$ cu cm

$\underset{–}{\text{Dimensions of Monument:}}$

Length $=17$ m $=1700$ cm
[$1$ m $=100$ cm]

Width $=12$ m $=1200$ cm

Height $=9$ m $=900$ cm

Volume of monument $=1700\times 1200\times 900$ cu cm

Volume of brick $=20\times 10\times 6=1200\text{cu cm}$

$\therefore \text{Number of bricks =}\frac{\text{Volume of cuboid monument}}{\text{Volume of one brick}}$

$\text{Number of bricks =}\frac{1700\times 1200\times 900}{1200}$

$\text{Number of bricks}=1700\times 900=1,530,000$ cu cm

(c) is the correct option.