Question

answer the questions below. give exact integer or decimal answers. be sure to include the correct units in your answers. (a) an object has a mass of 768 kg and a volume of 240 m³. what is the density of the object? density = (b) another object has a volume of 25 m³ and a density of 20 kg/m³. what is the mass of the object? mass =

Explanation:

Step1: Recall density formula

Density = $\frac{\text{Mass}}{\text{Volume}}$

Step2: Calculate density for (a)

Substitute values: $\frac{768\ \text{kg}}{240\ \text{m}^3} = 3.2\ \frac{\text{kg}}{\text{m}^3}$

Step3: Rearrange for mass

Mass = Density $\times$ Volume

Step4: Calculate mass for (b)

Substitute values: $20\ \frac{\text{kg}}{\text{m}^3} \times 25\ \text{m}^3 = 500\ \text{kg}$

Answer:

(a) $3.2\ \frac{\text{kg}}{\text{m}^3}$
(b) $500\ \text{kg}$