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 side length is 4 cm.
The side length is 4 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.

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.

Answer 1

To determine the properties of the cube based on its volume of 64 cm³, we can use the formula for the volume of a cube, which is:

\[ V = s^3 \]

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

1. Calculate the side length: \[ s^3 = 64 \] Taking the cube root of both sides: \[ s = \sqrt[3]{64} = 4 \text{ cm} \]

Therefore, the correct conclusions are:

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

So, the two applicable conclusions are:

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