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 1. Which of these is the correct formula for density?

  • A. density = mass x volume
  • B. density = mass ÷ volume
  • C. density = volume ÷ mass
  • D. density = volume - mass

Q2+3:

This metal cube of side 2cm has a mass of 32g.

metal cube

2. The density is ...

  • A. 2 g/cm3
  • B. 4 g/cm3
  • C. 8 g/cm3
  • D. 16 g/cm3

3. If you heated the cube it would expand a little. This would make ....

  • A. the mass increase and therefore the density increase.
  • B. the mass increase and therefore the density decrease.
  • C. the volume increase and therefore the density decrease.
  • D. the volume increase and therefore the density increase.

Q 4-6. These questions are about the densities of different substances.

What are the missing values?

 
Substance

Density (g/cm3)

Mass (g) Volume (cm3)
Glass 9 6
Lead 11.3 200
Wood 0.8 80
 

7. Floating or sinking depends on density.

The density of water is 1 g/cm3.

The density of this block is is 1.1 g/cm3.

 

 

wooden cube
This means that if you put this block in water it will...
  • A. float because it has a density higher than 1 g/cm3.
  • B. float because it has a density lower than 1 g/cm3.
  • C. sink because it has a density higher than 1 g/cm3.
  • D. sink because it has a density lower than 1 g/cm3.

Q8-10.

A green ball has been put into the measuring cylinder shown, and the water level has risen.

 
2 x measuring cylinders used to measure density

8. The water has been...

  • A. dispersed.
  • B. displaced.
  • C. diffracted.
  • D. diffused.
9. Using measurements from the diagram above, what is the density of the ball?
  • A. 0.47 g/cm3
  • B. 3.50 g/cm3
  • C. 0.91 g/cm3
  • D. 1.10 g/cm3
10. If the ball is cut in half and the experiment repeated, the density will   .
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A.I. response
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Question 1:

The correct formula for density is:

density=mass/volume

That matches option B.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 2:

Let’s calculate step by step.

Step 1 – Volume of the cube
Side length =2 cm

V=(2)3=8 cm3

Step 2 – Mass

m=32 g

Step 3 – Density

ρ=m/V=32/8=4 g/cm3

Correct answer: B. 4 g/cm³.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 3:

When the cube is heated, it expands slightly → volume increases.
The mass stays the same (no particles added or removed).

Density = mass ÷ volume → if volume increases while mass stays the same, density decreases.

Correct answer: C. ..the volume increase and therefore the density decrease.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 4:

Glass
Density ρ = m/V =9/6  = 1.5 g/cm3


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 5:

Lead
Density ρ=11.3 g/cm3, V=200 cm3

m=ρ×V=11.3×200=2260 g

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 6:

Wood
Density ρ=0.8 g/cm3, m=80 g

V= m/ρ = 80/0.8 = 100 cm3

*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 7:

The density of water is 1 g/cm3.
The density of the block is 1.1 g/cm3, which is higher than water's density.

Objects with density higher than the fluid will sink.

So: sink because it has a density higher than 1 g/cm3 → option C.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 8:

When an object is placed in water and the water level rises, the water has been displaced — meaning the object takes up space that was previously occupied by water.

Correct term: B. displaced.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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Question 9:

Let's work through it.

Step 1 – Volume of the ball
Water rises from 40 ml to 70 ml

Vball=70−40=30 ml=30 cm3 (as 1 cm3 = 1 ml)

Step 2 – Mass of the ball
Initial mass (water + cylinder) = 72 g
Mass after adding ball = 105 g

mball=105−72=33 g

Step 3 – Density of ball

ρ=m/V=33 / 30 =1.1 g/cm3

Correct answer: D. 1.10 g/cm³.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

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A.I. response
Our use of A.I. is environmentally friendly!
We do an A.I. search for each question, then store the response to that question on our server. No need to do multiple searches! Repeating the same A.I. request would have a much bigger carbon footprint.

Question 10:

The density of a material does not depend on the size or shape of the sample.

Cutting the ball in half reduces both the mass and volume by the same proportion, so the ratio (density) remains constant.

Answer: remains constant.


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.