Density calculation worksheet with problems and formula triangle.

Problem: Solving for Density

The density formula is given as:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
We will use this formula to solve each problem step by step.

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Problem 1:

A piece of silver has a mass of 72 grams and a volume of \(9 \, \text{cm}^3\). What is the density of the piece of silver?

#### Solution:
Using the density formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Substitute the given values:
\[
\text{Density} = \frac{72 \, \text{g}}{9 \, \text{cm}^3}
\]
Perform the division:
\[
\text{Density} = 8 \, \text{g/cm}^3
\]

#### Answer:
\[
\boxed{8 \, \text{g/cm}^3}
\]

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Problem 2:

A block of wood has a mass of 360 grams and a density of \(60 \, \text{g/cm}^3\). What is the volume of the block of wood?

#### Solution:
Rearrange the density formula to solve for volume:
\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]
Substitute the given values:
\[
\text{Volume} = \frac{360 \, \text{g}}{60 \, \text{g/cm}^3}
\]
Perform the division:
\[
\text{Volume} = 6 \, \text{cm}^3
\]

#### Answer:
\[
\boxed{6 \, \text{cm}^3}
\]

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Problem 3:

A glass coffee cup has a density of \(2 \, \text{g/mL}\) and a volume of \(5 \, \text{mL}\). What is the mass of the coffee cup?

#### Solution:
Rearrange the density formula to solve for mass:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
Substitute the given values:
\[
\text{Mass} = 2 \, \text{g/mL} \times 5 \, \text{mL}
\]
Perform the multiplication:
\[
\text{Mass} = 10 \, \text{g}
\]

#### Answer:
\[
\boxed{10 \, \text{g}}
\]

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Problem 4:

A highlighter has a mass of 1.5 grams and a volume of \(6 \, \text{cm}^3\). What is the density of the highlighter?

#### Solution:
Using the density formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Substitute the given values:
\[
\text{Density} = \frac{1.5 \, \text{g}}{6 \, \text{cm}^3}
\]
Perform the division:
\[
\text{Density} = 0.25 \, \text{g/cm}^3
\]

#### Answer:
\[
\boxed{0.25 \, \text{g/cm}^3}
\]

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Problem 5:

A wedding ring has a mass of 6 grams and a volume of \(2 \, \text{cm}^3\). What is the density of the wedding ring?

#### Solution:
Using the density formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Substitute the given values:
\[
\text{Density} = \frac{6 \, \text{g}}{2 \, \text{cm}^3}
\]
Perform the division:
\[
\text{Density} = 3 \, \text{g/cm}^3
\]

#### Answer:
\[
\boxed{3 \, \text{g/cm}^3}
\]

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Problem 6:

A glass plate has a density of \(20 \, \text{g/cm}^3\) and a volume of \(10 \, \text{cm}^3\). What is the mass of the glass plate?

#### Solution:
Rearrange the density formula to solve for mass:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
Substitute the given values:
\[
\text{Mass} = 20 \, \text{g/cm}^3 \times 10 \, \text{cm}^3
\]
Perform the multiplication:
\[
\text{Mass} = 200 \, \text{g}
\]

#### Answer:
\[
\boxed{200 \, \text{g}}
\]

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Problem 7:

The mass of a bag of dog food is 100 grams. If its volume is \(25 \, \text{cm}^3\), what is its density?

#### Solution:
Using the density formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Substitute the given values:
\[
\text{Density} = \frac{100 \, \text{g}}{25 \, \text{cm}^3}
\]
Perform the division:
\[
\text{Density} = 4 \, \text{g/cm}^3
\]

#### Answer:
\[
\boxed{4 \, \text{g/cm}^3}
\]

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Final Answers:

1. \(\boxed{8 \, \text{g/cm}^3}\)
2. \(\boxed{6 \, \text{cm}^3}\)
3. \(\boxed{10 \, \text{g}}\)
4. \(\boxed{0.25 \, \text{g/cm}^3}\)
5. \(\boxed{3 \, \text{g/cm}^3}\)
6. \(\boxed{200 \, \text{g}}\)
7. \(\boxed{4 \, \text{g/cm}^3}\)