Question

Question 95

A cuboidal tin box opened at the top has dimensions $20cm\times 16cm\times 14cm$. What is the total area of metal sheet required to make 10 such boxes?

Answer 1

Dimensions of cuboidal tin box are $20cm\times 16cm\times 14cm$
$\therefore$ Area of metal sheet for 1 box = Surface area of cuboid - Surface area of the top face
$=2(lb+bh+hl)-lb=2(20\times 16+16\times 14+14\times 20)=2(320+224+280)-320=2\left(824\right)-320=1648-320=1328c{m}^2$
$\therefore$ Area of metal sheet required to make 10 such boxes $=10\times 1328=13280c{m}^2$