answer the questions below. give exact intege...
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 744 g and a volume of 186 cm³. what is the density of the object? density = (b) another object has a volume of 50 cm³ and a density of 40 g/cm³. what is the mass of the object? mass =
Answer
# Explanation:
## Step1: Recall density formula
The formula for density $\rho$ is $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
## Step2: Calculate density for part (a)
Given $m = 744\ g$ and $V=186\ cm^{3}$, then $\rho=\frac{744\ g}{186\ cm^{3}} = 4\ g/cm^{3}$.
## Step3: Recall mass - density - volume relation
The formula $m=\rho\times V$ can be used to find mass when density and volume are known.
## Step4: Calculate mass for part (b)
Given $\rho = 40\ g/cm^{3}$ and $V = 50\ cm^{3}$, then $m=40\ g/cm^{3}\times50\ cm^{3}=2000\ g$.
# Answer:
(a) $4\ g/cm^{3}$
(b) $2000\ g$