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. 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 side length is 8 cm. The side length is 8 cm. The expression s2 , where s represents the side length was used to solve this problem. The expression s squared, where s represents the side length was used to solve this problem

Answer 1

From the given information, we know that the volume of the cube is 64 cm³.

1. The formula for the volume of a cube is given by \( V = s^3 \), where \( s \) is the side length. To find the side length, we can take the cube root of the volume: \[ s = \sqrt[3]{64} = 4 \text{ cm} \]

2. Therefore, we can conclude:

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

The other options (side length being 8 cm and using \( s^2 \)) are incorrect based on the volume provided.

So the correct responses are:

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