To determine the characteristics of the cube with a volume of 64 cm³, we can analyze the provided options.
The volume \( V \) of a cube can be calculated using the formula:
\[ V = s^3 \]
where \( s \) is the length of a side of the cube. Given that \( V = 64 \) cm³, we can find the side length by taking the cube root of the volume:
\[ s = \sqrt[3]{V} = \sqrt[3]{64} = 4 \text{ cm} \]
Now let's review the options:
A. The side length is 4 cm: True (as we calculated).
B. Taking the cube root of its volume will determine its side length: True (since we used this method to find the side length).
C. The side length is 8 cm: False (since we've established that the side length is 4 cm).
D. The expression \( s^2 \) where \( s \) represents the side length was used to solve this problem: False (the volume formula uses \( s^3 \), not \( s^2 \)).
Therefore, the two correct conclusions are:
A. The side length is 4 cm
B. Taking the cube root of its volume will determine its side length
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