Question

8. The diagonal of cube is 112 cm. What is its edge ?
(Hint: Diagonal = 13(edge) => 13(edge)= /121​

Answer 1

Answer:

$37.33\sqrt{3}cm$ (approx)

Step-by-step explanation:

Given:-

Diagonal of the cube = 112 cm

To find:-

Edge of the cube

Solution:-

Let the edge of the cube be represented as $x$

Diagonal of the cube $\sqrt{3}$ × Edge of the cube

112 = $\sqrt{3}x$

$x = \frac{112}{\sqrt{3}}$

$x = \frac{112\sqrt{3} }{3}$ cm

$x = 37.33\sqrt{3} cm$ (approx)

∴ The  diagonal of the cube is $37.33\sqrt{3}cm$