Question

The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm × 3 cm × 0.75 cm can be put in this box?

Answer 1

Given,

External dimensions of wooden box = 48 cm × 36 cm × 30 cm

Dimensions of bricks = 6 cm × 3 cm × 0.75 cm

Thickness of wood = 1.5 cm

So,

Internal dimensions of box = 48 - (2 x 1.5)cm + 36 - (2 x 1.5)cm + 30 - (2 x 1.5)cm

= 45 cm ×33 cm× 27 cm

Hence,

Number of bricks can be put in box = \(\frac{internal\,volume\,of\,box}{volume\,of\,one\,brick}\)  = \(\frac{45\times 33\times 27}{6\times 3\times 0.75}\)  = 2970 bricks