Question

Find the length of the diagonal of a cube whose side is 5 units long

Answer 1

Given that,

Side of a cube = 5 units

Length of the diagonal of the cube = ?

we know formula for diagonal of a cube =

Diagonal = $\sqrt3{s^{2} }$

Diagonal = √3×5 units×5 units

Diagonal = √3×25units²

Diagonal = √75 {75 can be written as 3×5×5}

Diagonal = 3√5 units.

Therefore, diagonal of the square is 3√5 units.

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