(a)An object has a density of 25kgm3 and a volume of 80m3. What is the mass of the object?

1. ### Break Down the Problem

To find the mass of the object, we can use the formula for density: $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$ Thus, we can rearrange the formula to solve for mass: $\text{Mass} = \text{Density} \times \text{Volume}$

2. ### Relevant Concepts

• Density ($\rho$) is defined as mass divided by volume.
• The given values are:
  • Density $\rho = 25 \, \text{kg/m}^3$
  • Volume $V = 80 \, \text{m}^3$

3. ### Analysis and Detail

Now we will calculate the mass using the rearranged formula:

$\text{Mass} = \text{Density} \times \text{Volume}$ Substituting the provided values: $\text{Mass} = 25 \, \text{kg/m}^3 \times 80 \, \text{m}^3$

Calculating the multiplication: $\text{Mass} = 2000 \, \text{kg}$

4. ### Verify and Summarize

The calculations are verified to ensure there are no arithmetic errors. The multiplication confirms that $25 \times 80 = 2000$.

Final Answer

The mass of the object is $2000 \, \text{kg}$.