Consider a cube with a volume of 64 cm3 . What can be concluded about the cube? Select the two that apply.(2 points) Responses The side length is 4 cm. The side length is 4 cm. The side length is 8 cm. The side length is 8 cm. Taking the cube root of its volume will determine its side length. Taking the cube root of its volume will determine its side length. The expression s2 , where s represents the side length was used to solve this problem.

Answer 1

To analyze the cube with a volume of 64 cm³, we start by recalling that the volume \( V \) of a cube is given by the formula:

\[ V = s^3 \]

where \( s \) is the length of a side of the cube.

Given that the volume \( V = 64 , \text{cm}^3 \):

\[ s^3 = 64 \]

To find the side length \( s \), we can take the cube root of both sides:

\[ s = \sqrt[3]{64} = 4 , \text{cm} \]

This means we can conclude the following:

1. The side length is 4 cm.
2. Taking the cube root of its volume will determine its side length.

So, the two correct conclusions are:

• The side length is 4 cm.
• Taking the cube root of its volume will determine its side length.