Question

find the edge length of the cube if its volume is 5832 cubic cm

Answer 1

Volume of cube = 5832 cm³
a³ = 5832 cm³
a = ³√(5832) = 18cm

Answer 2

Answer: 18 cm

Step-by-step explanation:

Given: The volume of the cube = 5832 cubic cm

We know that the volume of a cube =$(edge)^3$

To find the edge of the given cube, we need to find the cube root of 5832.

We can find the prime factorization of 5832 to find its cube root as

5832=2×3×3×2×3×3×2×3×3=18×18×18

Thus, $18^3=5832$

Thus, The edge of the cube = 18 cm