The external dimensions of a closed wooden box are 48cm, 36cm, 30cm. The box is made of 1.5cm thick wood. How many bricks of size `6cmxx 3cmx x 0. 75 c m` can be put in this box?

Explanation

Thickness of wood`=1.5 cm`
Inner length `l=48−2times1.5 cm=48−3=45 cm`
Breadth `b=36 - 2times1.5=36-3=33 cm`
Height `h=30-2times1.5=30-3=27 cm`
Outer dimensions of a closed wooden box`=48 cmtimes36 cmtimes30 cm`
Volume of inner box`=l\timesbtimesh=45times33times27 cm^3=40095 cm^3`
Volume of one brick of size`=6 cmtimes3 cmtimes0.75 cm=6times3times0.75=(6times3times3/4) cm^3=27/2 cm^3`
`therefore` Number of bricks`=(40095times2)27=1485times2=2970` bricks