Question

The relationship between V, the volume of a cube, and E, the length of each edge of the cube, is shown below.
3/V= E
E
What is the length, in inches, of each edge of a cube that has a volume of 64 cubic inches?

Answer 1

Answer: 4 inches.

Step-by-step explanation:

Given: The relationship between V, the volume of a cube, and E, the length of each edge of the cube is given by :-

$\sqrt[3]{V}=E$

If volume = 64 cubic inches, then put V= 64, we get

$\sqrt[3]{64}=E\\\\\Rightarrow\ \sqrt[3]{4\times 4\times 4} =E\\\\\Rightarrow\ \sqrt[3]{4^3} =E\\\\\Rightarrow\ 4 =E$

Hence, the length of each edge of a cube =   4 inches.