Question

the following image represents a cube of unknown material. it is used for questions 2 and 3. 2. the cube is measured to be 2 cm on each side. calculate the volume of the cube. include the correct units for your value (1) 2×2×2 = 8 3. if the density of the cube is given as 8 g cm⁻³, calculate the mass of the cube. (1)

Explanation:

Step1: Calculate cube volume

The formula for the volume $V$ of a cube is $V = a^3$, where $a$ is the side - length. Given $a = 2$ cm, so $V=2\times2\times2=8$ $cm^3$.

Step2: Calculate cube mass

The formula for density $
ho$ is $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Rearranging for $m$ gives $m =
ho V$. Given $
ho = 8$ g/cm³ and $V = 8$ cm³, then $m=8\times8 = 64$ g.

Answer:

1. The volume of the cube is $8$ $cm^3$.
2. The mass of the cube is $64$ g.