Consider a cube with a volume of 64 cm3

Question

. What can be concluded about the cube? Select the two that apply.(2 points)
Responses

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.

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 4 cm.
The side length is 4 cm.

The side length is 8 cm.

Answer 1

To analyze the given cube with a volume of 64 cm³, we can derive the cubes' properties based on its volume:

1. The volume \( V \) of a cube is calculated using the formula: \[ V = s^3 \] where \( s \) is the side length.

2. To find the side length \( s \), we can take the cube root of the volume: \[ s = \sqrt[3]{V} = \sqrt[3]{64} = 4 \text{ cm} \]

From this analysis, the true statements are:

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

Therefore, the correct answers are:

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