Question

How many planks of size $2m\times 25cm\times 8cm$ can be prepared from a wooden block $5m$ long, $70cm$ broad and $32cm$ thick, assuming that there is no wastage?

Answer 1

Total volume of the block $=50cm\times 70cm\times 32cm$
$=1120000c{m}^3$ [$\because 5m=5\times 100cm=500cm$]

Total volume of each plank
$=200cm\times 25cm\times 8cm$
$=40000c{m}^3$ [$\because 2m=2\times 100cm=200cm$]

$\therefore$ Total number of planks that can be made $=$ Total volume of the block $÷$ Volume of each plank

$=$ $\frac{1120000}{40000}=28$ planks