Question

A cubical box has each edge $10cm$ and another cuboidal box is $12.5cm$ long, $10cm$ wide and $8cm$ high.
Which box has the smaller total surface area and by how much?

Answer 1

Given, edge of cube box $=10$ cm

Total surface area = $6a^2=600c{m}^2$

Given, dimension of cuboidal box $=(l\times b\times h)=(12.5\times 10\times 8)cm$

Total surface area $=2(lb+bh+lh)$

= $2(125+80+100)=610c{m}^2$

$\therefore$ Total surface area of cuboid box is grater and by $10$ cm${}^2$.