Question

find the density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g.

Explanation:

Step1: Calculate the volume of the cube

The volume \( V \) of a cube with side length \( s \) is given by the formula \( V = s^3 \). Here, the side length \( s = 2 \, \text{cm} \), so we calculate the volume as follows:
\( V=(2\,\text{cm})^3 = 2\times2\times2\,\text{cm}^3 = 8\,\text{cm}^3 \)

Step2: Calculate the density

The formula for density \(
ho \) is \(
ho=\frac{m}{V} \), where \( m \) is the mass and \( V \) is the volume. We know the mass \( m = 64\,\text{g} \) and the volume \( V = 8\,\text{cm}^3 \) (from Step 1). Substituting these values into the formula:
\(
ho=\frac{64\,\text{g}}{8\,\text{cm}^3}=8\,\text{g/cm}^3 \)

Answer:

\( 8\,\text{g/cm}^3 \) (corresponding to the orange option: \( 8\,\text{g/cm}^3 \))