Absolutely! Let’s solve each of these density word problems step by step. The key formula for density is:
>
Density (d) = Mass (m) / Volume (v)
> or rearranged:
>
Mass (m) = Density (d) × Volume (v)
>
Volume (v) = Mass (m) / Density (d)
Also, remember:
- 1 mL = 1 cm³ (for water and most liquids/solids in these problems)
- 1 kg = 1000 g
---
Problem 1:
What is the density of an object with a mass of 120g and a volume of 7mL?
Formula:
d = m / v
d = 120 g / 7 mL
d ≈
17.14 g/mL
✔ Answer: 17.14 g/mL
---
Problem 2:
What is the volume of 220 grams of an object with a density of 55 g/cm³?
Formula:
v = m / d
v = 220 g / 55 g/cm³
v =
4 cm³
✔ Answer: 4 cm³
---
Problem 3:
We have an object with a density of 620 g/cm³ and a volume of 75 cm³. What is the mass of this object?
Formula:
m = d × v
m = 620 g/cm³ × 75 cm³
m =
46,500 g
✔ Answer: 46,500 grams
---
Problem 4:
What would be the mass of #3 in kilograms?
From Problem 3, mass = 46,500 g
Convert to kg:
46,500 g ÷ 1000 =
46.5 kg
✔ Answer: 46.5 kg
---
Problem 5:
A block of wood has the mass of 180 grams. It is 10cm long, 6cm wide and 4cm thick. What is its density?
First, find volume:
Volume = length × width × height
v = 10 cm × 6 cm × 4 cm =
240 cm³
Now, density:
d = m / v
d = 180 g / 240 cm³
d =
0.75 g/cm³
✔ Answer: 0.75 g/cm³
---
Problem 6:
A 500 gram piece of metal has a volume of 2.75 cm³. What is its density?
d = m / v
d = 500 g / 2.75 cm³
d ≈
181.82 g/cm³
✔ Answer: 181.82 g/cm³
*(Note: This is extremely dense — denser than lead or gold — so it might be a made-up number for practice!)*
---
Problem 7:
A cube measures 3cm on each side and has a mass of 25 grams. What is its density?
Volume of cube = side³
v = 3 cm × 3 cm × 3 cm =
27 cm³
d = m / v
d = 25 g / 27 cm³
d ≈
0.926 g/cm³
✔ Answer: 0.926 g/cm³
---
##
✔ Final Answers Summary:
1.
17.14 g/mL
2.
4 cm³
3.
46,500 g
4.
46.5 kg
5.
0.75 g/cm³
6.
181.82 g/cm³
7.
0.926 g/cm³
Let me know if you’d like to see any step shown with more detail or drawn out visually!
Parent Tip: Review the logic above to help your child master the concept of density word problems worksheet.
