Question

A cuboidal container open at a top length $50cm$, breadth $40cm$, height $30cm$, which are made up of tin. Find the cost of the tin sheet required for making such $10container$, if the cost of the tin sheet is $₹20$.

Answer 1

Dimension of the cuboidal container $=50$cm$\times 40$cm$\times 30$cm

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

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

$=2(50\times 40+40\times 30+30\times 50)=2(2000+1200+1500)=2\times 4700=9400m^2$

$\therefore$Tin sheet used to manufacture the cuboidal container is $9400m^2$

It is required to make $10$ such containers.

$\therefore$ Tin sheet required to make $10$ such containers$=9400\times 10=94,000{cm}^3$

Price of tin sheet per sq.m$=$Rs.$20$

Price of tin sheet to make $94,000{cm}^3$ is $=94,000\times 20=$Rs.$18,80,000‬‬$