Question

the lateral surface area of cube is doubled that of a cuboid whod lateral surface area is 723 cmsquare . find the length of the edge of cube

Answer 1

Lateral S.A of cube = 4×a×a
Lateral S.A of cuboid = 723 sq.cm
Then,
4×a×a = 2× 723
=> a×a = 723/2
$= > {a}^{2} = 361.5 \\ = > a = \sqrt{361.5} \\ = > a =19.01cm$
Hence,side of the cube is 19.01 cm

Answer 2

Answer

• Cube root ∛723 cannot be reduced, because it already is in its simplest form.

• And All radicals are now simplified. The radicand no longer has any cubed factors.

• The cubed root of seven hundred and twenty-three ∛723 = 8.9752405901732

and here,

4×a×a = 2× 723

=> a×a = 723/2

$\begin{lgathered}={a}^{2} = 361.5\ \=>a=\sqrt{361.5}\=>=19.01cm\end{lgathered}$

Answer =19.01cm