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 x 3 cm x 0.75 cm can be put in this box?

Answer 1

Given internal dimensions are

`l=48-2xx"thickness"=48-3=45cm`

`b=36-3=33cm`

`h=30-3=27cm`

∴ Internal volume =`45xx33xx27cm^3`

Volume of brick = `5xx3xx0.75cm^3`

Hence, number of bricks= `"Internal volume"/"volume of 1 brick"`

`=(45xx33xx27)/(6xx3xx0.37)`

`=(38880)/13.5`

`=2970`

`∴2970  "bricks can be kept inside the box"`