Absolutely! Let’s solve each problem step by step, using the formula:
>
Density = Mass / Volume
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Problem 1:
You have a mineral with a volume of
15 cm³ and a mass of
45 g. What is its density?
Formula:
D = Mass / Volume
D = 45 g / 15 cm³
Calculation:
45 ÷ 15 =
3
✔ Its density is: 3 g/cm³
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Problem 2:
You have a different mineral with a volume of
15 cm³ and a mass of
75 g. What is its density?
Formula:
D = Mass / Volume
D = 75 g / 15 cm³
Calculation:
75 ÷ 15 =
5
✔ Its density is: 5 g/cm³
*(Fill in the blanks: D = 75g / 15cm³)*
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Problem 3:
In the above two examples: which mineral is more dense?
- Mineral 1: 3 g/cm³
- Mineral 2: 5 g/cm³
Since
5 > 3, the second mineral is denser.
✔ The _second_ mineral is more dense than the _first_ one.
*(Note: You could also say “the 75g mineral” or “the heavier one”, but since both have same volume, the one with more mass is denser.)*
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Problem 4:
What is the density of a cube of sugar weighing
12.8 grams, measuring
2 cm on a side?
First, find the
volume of the cube.
Volume of a cube = side × side × side
= 2 cm × 2 cm × 2 cm =
8 cm³
Mass =
12.8 g (given)
Now use the formula:
D = Mass / Volume
D = 12.8 g / 8 cm³
Calculation:
12.8 ÷ 8 =
1.6
✔ Its density is: 1.6 g/cm³
*(Fill in the blanks:)*
mass =
12.8 g
volume =
2 ×
2 ×
2 =
8 cm³
D =
12.8 g /
8 cm³
---
##
✔ Final Answers Summary:
1. Density =
3 g/cm³
2. Density =
5 g/cm³
3. The
second mineral is more dense than the
first one.
4. Mass =
12.8 g, Volume =
8 cm³, Density =
1.6 g/cm³
Let me know if you’d like to visualize this or need help with more density problems! 🌟
Parent Tip: Review the logic above to help your child master the concept of density questions worksheet.
