Question

The square on the diagonal of a cube has an area of $1875$ sq. cm, then calculate the total surface area of the cube.

Answer 1

Assuming the side of cube $=a$ cm

Then the length of its diagonal $=$ $L=a\sqrt{3}$

$\Rightarrow {\left(a\sqrt{3}\right)}^2=1875$

$\Rightarrow a=25$

Surface area of cube $=$ $6\times$edge${}^2$

S.A $=6\times {25}^2$

S.A $=3750$ sq. cm

Surface area $=3750$ sq.cm.