Let's solve each problem step by step using the
density formula:
$$
\text{Density} = \frac{\text{Mass}}{\text{Volume}} \quad \Rightarrow \quad \text{Mass} = \text{Density} \times \text{Volume}, \quad \text{Volume} = \frac{\text{Mass}}{\text{Density}}
$$
---
1.) The volume of a block of plastic is 2 cm × 4 cm × 5 cm. If the density of the plastic is 2 g/cm³, what is the mass of the plastic block?
Step 1: Find the volume
$$
\text{Volume} = 2 \times 4 \times 5 = 40 \text{ cm}^3
$$
Step 2: Use the density formula
$$
\text{Mass} = \text{Density} \times \text{Volume} = 2 \, \frac{g}{cm^3} \times 40 \, cm^3 = 80 \, g
$$
✔ Answer: 80 grams
---
2.) The density of a piece of metal is 5 g/cm³ and its volume is 100 cubic centimeters. What is the mass of the sample of metal?
$$
\text{Mass} = \text{Density} \times \text{Volume} = 5 \, \frac{g}{cm^3} \times 100 \, cm^3 = 500 \, g
$$
✔ Answer: 500 grams
---
3.) Find the mass of an object with a volume of 2 cubic centimeters and a density of 3.5 g/cm³
$$
\text{Mass} = 3.5 \, \frac{g}{cm^3} \times 2 \, cm^3 = 7 \, g
$$
✔ Answer: 7 grams
---
4.) What is the volume of an object with a density of 2 g/cm³ and a mass of 40 grams?
$$
\text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{40 \, g}{2 \, \frac{g}{cm^3}} = 20 \, cm^3
$$
✔ Answer: 20 cubic centimeters
---
5.) If the mass of an object is 27 grams and its density is 9 g/cm³, what is the volume of the object?
$$
\text{Volume} = \frac{27 \, g}{9 \, \frac{g}{cm^3}} = 3 \, cm^3
$$
✔ Answer: 3 cubic centimeters
---
6.) The density of a liquid is 3 g/cm³ and its mass is 30 grams. What is the volume of the liquid?
$$
\text{Volume} = \frac{30 \, g}{3 \, \frac{g}{cm^3}} = 10 \, cm^3
$$
✔ Answer: 10 cubic centimeters
---
✔ Final Answers:
1. 80 g
2. 500 g
3. 7 g
4. 20 cm³
5. 3 cm³
6. 10 cm³
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Parent Tip: Review the logic above to help your child master the concept of mass volume density worksheet 5th grade.
