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 density of 24 \\( \frac{\mathrm{kg}}{\mathrm{m}^{3}} \\) and a volume of \\( 60 \mathrm{~m}^{3} \\). what is the
mass of the object?
mass \\( = \\)
(b) another object has a volume of \\( 186 \mathrm{~m}^{3} \\) and a mass of \\( 744 \mathrm{~kg} \\). what is
the density of the object?
density \\( = \\)

Explanation:

Step1: Recall the density formula

The formula for density is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass, and \(V\) is volume. For part (a), we can rearrange the formula to \(m =
ho\times V\).

Step2: Calculate the mass for part (a)

Given \(
ho = 24\frac{kg}{m^{3}}\) and \(V = 60m^{3}\). Substitute into \(m=
ho\times V\): \(m=24\times60 = 1440\) \(kg\).

Step3: Rearrange the density formula for part (b)

From \(
ho=\frac{m}{V}\), with \(m = 744kg\) and \(V = 186m^{3}\).

Step4: Calculate the density for part (b)

Substitute into \(
ho=\frac{m}{V}\): \(
ho=\frac{744}{186}=4\frac{kg}{m^{3}}\).

Answer:

(a) \(1440\) \(kg\)
(b) \(4\frac{kg}{m^{3}}\)