Question

practice problems

1. find the density of an object that has a mass of 100 grams and a volume of 26 ml.
2. find the volume of an object that has a mass of 27 g and a density of 36 g/ml.
3. find the mass of an object that has a volume of 200 ml and a density of 0.023 g/ml.

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume.

Step2: Solve problem 1

Given $m = 100$ g and $V=26$ mL. Substitute into the formula: $
ho=\frac{100}{26}\approx3.85$ g/mL.

Step3: Rearrange density formula for volume

From $
ho=\frac{m}{V}$, we can get $V = \frac{m}{
ho}$.

Step4: Solve problem 2

Given $m = 27$ g and $
ho = 36$ g/mL. Substitute into the formula: $V=\frac{27}{36}= 0.75$ mL.

Step5: Rearrange density formula for mass

From $
ho=\frac{m}{V}$, we can get $m=
ho V$.

Step6: Solve problem 3

Given $V = 200$ mL and $
ho=0.023$ g/mL. Substitute into the formula: $m=0.023\times200 = 4.6$ g.

Answer:

1. The density is approximately 3.85 g/mL.
2. The volume is 0.75 mL.
3. The mass is 4.6 g.