Question

If edge of a cube is 12 metres, then the diagonal of each side is_______-

Answer 1

Answer:

We can find length of diagonal of a cube very easily using its sides by the use of the formula finding the diagonal of the cube which is

diagnal \: of \: cube = \sqrt{3} adiagnalofcube=

3

a

where a is the given edge of the cube.

____________________________

Given that edge of a cube is equals to 12 cm.

So ,

a = 12cm.

As , we know that

diagnal \: of \: cube = \sqrt{3} adiagnalofcube=

3

a

So,

\begin{gathered}Diagonal = \sqrt{3} \times 12 \\ 12 \sqrt{3} cm\end{gathered}

Diagonal=

3

×12

12

3

cm

so, diagonal of the given cube will be

12 \sqrt{3} cm12

3

cm