Question

If a cuboidal box is to be manufactured, using a tin sheet, then find out the cost of tin if dimensions of the box are $36m\times 20m\times 2m$ and price of tin sheet is $Rs200per{m}^2$.

Answer 1

Dimension of the cuboid$=36$m$\times 20$m$\times 2$m

Tin sheet used to manufacture the cuboid$=$Total surface area of the cuboid

$\therefore$ Total surface area of the cuboid$=2(lb+bh+lh)$

$=2(36\times 20+20\times 2+2\times 36)=2(720+40+72)=2\times 832=1664m^2$

$\therefore$Tin sheet used to manufacture the cuboid is $1664m^2$

Price of tin sheet per sq.m$=$Rs.$200$

Price of tin sheet for $1664m^2=1664\times 200=$Rs.$3,32,800‬$