Cubes are three -dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a measured side length of 4.1 cm? (Density: D=(m)/(v) .1828g/cm^3 .3254g/cm^3 3.073g/cm^3 68.92g/cm^3

To find the density of the cube, we need to use the formula for density:<br /><br />\[ D = \frac{m}{v} \]<br /><br />where \( D \) is the density, \( m \) is the mass, and \( v \) is the volume.<br /><br />First, we need to calculate the volume of the cube. The formula for the volume of a cube is:<br /><br />\[ v = s^3 \]<br /><br />where \( s \) is the side length of the cube.<br /><br />Given that the side length \( s \) is 4.1 cm, we can calculate the volume:<br /><br />\[ v = (4.1 \, \text{cm})^3 \]<br />\[ v = 4.1 \, \text{cm} \times 4.1 \, \text{cm} \times 4.1 \, \text{cm} \]<br />\[ v = 68.921 \, \text{cm}^3 \]<br /><br />Now, we can calculate the density using the mass and the volume:<br /><br />\[ D = \frac{12.6 \, \text{g}}{68.921 \, \text{cm}^3} \]<br />\[ D \approx 0.1828 \, \text{g/cm}^3 \]<br /><br />Therefore, the density of the cube is approximately \( 0.1828 \, \text{g/cm}^3 \).<br /><br />So, the correct answer is:<br /><br />\[ \boxed{0.1828 \, \text{g/cm}^3} \]