Question

1. silver has a density of 10.5 g/cm³. what is the mass of a piece of silver that has a volume of 5 cm³?
2. determine the volume of a piece of gold that has a density of 19.3 g/cm³ and a mass of 1351 grams.
3. what is the mass of a piece of aluminum if the density is 2.7 and the volume is 250 cm³?
4. what is the volume of a lead block that has a mass of 113 grams and a density of 11.3?
5. the density of a piece of wood is 0.625 g/cm³. what is the volume of this piece of wood if it has a mass of 75 grams?
6. a sphere made of titanium has a radius of 5 cm.

a) what is the volume of this sphere? (v = 4/3 pi r³)
b) if the sphere has a mass of 2380 grams, what is its density?

Explanation:

5.

Step1: Recall density - mass - volume formula

The formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We want to find $m$, so we can rewrite it as $m =
ho\times V$.

Step2: Substitute values

Given $
ho = 10.5\ g/cm^{3}$ and $V = 5\ cm^{3}$, then $m=10.5\times5 = 52.5$ g.

Step1: Use density - mass - volume formula

From $
ho=\frac{m}{V}$, we can solve for $V$ as $V=\frac{m}{
ho}$.

Step2: Substitute values

Given $
ho = 19.3\ g/cm^{3}$ and $m = 1351$ g, then $V=\frac{1351}{19.3}=70$ $cm^{3}$.

Step1: Apply density - mass - volume formula

Using $m=
ho\times V$ (from $
ho=\frac{m}{V}$).

Step2: Substitute values

Given $
ho = 2.7$ and $V = 250\ cm^{3}$, then $m=2.7\times250 = 675$ g.

Answer:

52.5 g

6.