Question

The dimensions of a rectangular sheet of metal are $6.5m\times 3m$. Out of this sheet, closed boxes of dimensions $15cm\times 6cm\times 5cm$ are made. How many such boxes can be made in all?

Answer 1

We have,

The dimensions of a rectangular sheet $=6.5m\times 3m.$

So,

total area of sheet $=3.6\times 3$

$=19.5m^2$

The dimensions of box $=15\times 6\times 5$

length $=15cm$

breadth $=6cm$

height $=5cm$

Then,

total area of Boxes $=2(lb+bh+hl)$

$=2(15\times 6+6\times 5+5\times 15)$

$=2(90+30+75)$

$=2\left(195\right)$

$=390c.m{.}^2$

then,

Boxes no. $=\frac{TotalAreaofsheet}{TotalAreaofboxes}$

$=\frac{195\times 10000}{10\times 390}$

no. of Box $=500$ Boxes

Hence, this is the answer.