Question

a cube with side length s has a volume of 64 cubic units. what is the length of one side? 32 16 8 teal box with number (likely 4)

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \).

Step2: Substitute the given volume into the formula

We know that the volume \( V = 64 \) cubic units. So we set up the equation \( s^3 = 64 \).

Step3: Solve for \( s \)

To find \( s \), we take the cube root of both sides of the equation. The cube root of 64 is 4 because \( 4^3 = 4\times4\times4 = 64 \). So \( s=\sqrt[3]{64} = 4 \). (Note: The options in the image seem to have a typo, but the correct side length is 4. If we assume a possible typo and the last option is 4, then that's the answer.)

Answer:

Assuming the last (cyan) option is 4, the answer is the cyan - colored option with 4 (if the options are labeled, for example, if the cyan option is D, then D. 4). If we consider the given options as is (with possible display issues), the correct side length is 4.