Question

1. a cube made of an unknown material has a height of 9cm. the mass of this cube is 3645 g. calculate the density of this cube given this information. answer: _

Explanation:

Step1: Calculate the volume of the cube

The formula for the volume \( V \) of a cube is \( V = s^3 \), where \( s \) is the length of a side. For a cube, the height, length, and width are equal. Given the height \( s = 9\space cm \), so the volume is \( V = 9^3 = 9\times9\times9 = 729\space cm^3 \).

Step2: Calculate the density

The formula for density \(
ho \) is \(
ho=\frac{m}{V} \), where \( m \) is the mass and \( V \) is the volume. Given \( m = 3645\space g \) and \( V = 729\space cm^3 \), then \(
ho=\frac{3645}{729} = 5\space g/cm^3 \).

Answer:

The density of the cube is \( 5\space g/cm^3 \)