Let's solve each question step by step using the formula:
>
Density = Mass ÷ Volume
> or
>
D = M / V
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Question 1:
You have a rock with a volume of
12 cm³ and a mass of
84 g. What is its density?
Formula:
D = M / V = 84 g / 12 cm³
Calculation:
84 ÷ 12 =
7
✔ Its density is _7_ g/cm³
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Question 2:
You have a different rock with a volume of
24 cm³ and a mass of
192 g. What is its density?
Formula:
D = M / V = 192 g / 24 cm³
Calculation:
192 ÷ 24 =
8
✔ D = _192_ g / _24_ cm³
✔ Its density is _8_ g/cm³
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Question 3:
In question 1 and 2, which rock is more dense?
- Rock 1: 7 g/cm³
- Rock 2: 8 g/cm³
Since 8 > 7,
Rock 2 is more dense.
✔ The _SECOND_ rock is more dense than the _FIRST_ rock.
*(Note: The worksheet says “Drag and drop” — since we can’t drag, we just fill in the blanks.)*
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Question 4:
What is the density of a rectangular brick with a weight (mass) of
2160 g?
Dimensions:
Length = 20 cm, Width = 9 cm, Height = 6 cm
Step 1: Calculate Volume
Volume = Length × Width × Height
= 20 cm × 9 cm × 6 cm
= 180 × 6 =
1080 cm³
✔ Volume = _20_ X _9_ X _6_ = _1080_ cm³
Step 2: Calculate Density
D = M / V = 2160 g / 1080 cm³
=
2 g/cm³
✔ D = _2160_ g / _1080_ cm³
✔ Its density is _2_ g/cm³
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Question 5:
A block of marble measures
10 cm × 10 cm × 10 cm. It weighs
4000 g. What is its density?
Step 1: Mass
Mass =
4000 g
✔ Mass: _4000_ g
Step 2: Volume
Volume = 10 cm × 10 cm × 10 cm =
1000 cm³
✔ Volume: _10_ X _10_ X _10_ = _1000_ cm³
Step 3: Density
D = M / V = 4000 g / 1000 cm³ =
4 g/cm³
✔ D = _4000_ g / _1000_ cm³
✔ Its density is _4_ g/cm³
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✔ Final Answers Summary:
1.
7 g/cm³
2.
D = 192 g / 24 cm³ → 8 g/cm³
3.
The SECOND rock is more dense than the FIRST rock.
4.
Volume = 20 × 9 × 6 = 1080 cm³; D = 2160 g / 1080 cm³ → 2 g/cm³
5.
Mass: 4000 g; Volume: 10 × 10 × 10 = 1000 cm³; D = 4000 g / 1000 cm³ → 4 g/cm³
All done! 🎯
Parent Tip: Review the logic above to help your child master the concept of volume and density worksheet.