Question

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

Answer 1

Formula for the total surface area of the cube = $6l^2$ = $6$ x ${10}^2$ = $6$ x $100$ = $600c{m}^2$
Formula for the total surface area of the cuboid = $2(lb+bh+lh)$

$=2$[($12.5$ x $10$) + ($10$ x $8$) + ($8$ x $12.5$)]

$=2[125+80+100]$

$=610c{m}^2$
Thus, Cube has a smaller total surface area.