Question

What is the length of the edge of a cube whose volume is 5,832 cm cube.​

Answer 1

Answer:

Step-by-step explanation:

Given :-

Volume of cube = 5,832 cm

To Find :-

Length of the edge.

Formula to be used :-

Volume of a cube = side ³ = a³

Solution :-

Volume of a cube = side ³ = a³

V = 5832 cm³

a = cube root of 5832 cm³

Prime factors of 5832

= 2³ × 3^6

= 2³ × 9³

= (2 × 9)³

Side, a = cube root of 5832 cm

= 2 × 9

= 18 cm

Hence,  the length of the edge of a cube is 18 cm.