A cube has a volume of 8 in.3

. What is the length of one side of the cube?(1 point)
Responses

223
in.
2 Start Fraction 2 over 3 End Fraction in.

2 in.
2 in.

2.83 in.
2.83 in.

512 in.3

1 answer

To find the length of one side of a cube when you know its volume, you can use the formula for the volume of a cube:

\[ V = s^3 \]

where \( V \) is the volume and \( s \) is the length of one side of the cube.

Given that the volume \( V = 8 , \text{in}^3 \), you can set up the equation:

\[ s^3 = 8 \]

Now, to find \( s \), take the cube root of both sides:

\[ s = \sqrt[3]{8} \]

Calculating the cube root of 8, we find:

\[ s = 2 , \text{in.} \]

Therefore, the length of one side of the cube is \( 2 , \text{in.} \)