Question

If volume of cubodical box is 1728 .then find total surface area

Answer 1

Volume of the cubical box = 1728 cubic units

Volume of the cube = l^3.

( Here l can be taken as a side of cube)

According to the problem:

1728=l^3 ('^' indicates raised to the power of )

l=3√1728 (cube root of 1728)

l=12

The side of cube= 12 units

The total surface area of cube= 4l^2

= 4×(12^2)

=4×144

=576

Therefore, The total surface area of cubical box is 576 square units.