Question

1. an object placed in a graduated cylinder raises the volume from 12.2 ml to 14.5 ml. find the volume of the object.
2. find the volume of a cube measuring 5 cm on each side.
3. find the density of the box in #1 if it has a mass of 20 g.
4. find the density of the object in #2 if it has a mass of 4 g.
5. find the density of the cube in #3 if it has a mass of 100 g.

Explanation:

Step1: Find volume of object in question 2

Volume of object is the difference in cylinder volumes.
$V_1=14.5 - 12.2=2.3\ mL$

Step2: Find volume of cube in question 3

Use volume formula for cube $V = s^3$, where $s = 5\ cm$.
$V_2=5^3 = 125\ cm^3$

Step3: Find density of box in question 4

Density formula is $
ho=\frac{m}{V}$, but volume of box is not given, so cannot be calculated.

Step4: Find density of object in question 5

We know $m = 4\ g$ and $V = V_1=2.3\ mL$.
$
ho_1=\frac{4}{2.3}\ g/mL\approx1.74\ g/mL$

Step5: Find density of cube in question 6

We know $m = 100\ g$ and $V = V_2 = 125\ cm^3$.
$
ho_2=\frac{100}{125}=0.8\ g/cm^3$

Answer:

Question 2 volume: $2.3\ mL$
Question 3 volume: $125\ cm^3$
Question 4 density: Cannot be calculated
Question 5 density: $\approx1.74\ g/mL$
Question 6 density: $0.8\ g/cm^3$