10 minutes maximum! Can you do it in 5?
1. Which of these is the correct formula for density?
Q2+3:
This metal cube of side 2cm has a mass of 32g.
2. The density is ...
3. If you heated the cube it would expand a little. This would make ....
Q 4-6. These questions are about the densities of different substances.
What are the missing values?
Density (g/cm3)
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.
Q8-10.
A green ball has been put into the measuring cylinder shown, and the water level has risen.
8. The water has been...
Question 1:
The correct formula for density is:
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. 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.
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
Step 3 – Density
Correct answer: B. 4 g/cm³.
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.
Question 4:
Glass Density ρ = m/V =9/6 = 1.5 g/cm3
Question 5:
Lead Density ρ=11.3 g/cm3, V=200 cm3
Question 6:
Wood Density ρ=0.8 g/cm3, m=80 g
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.
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.
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
Step 3 – Density of ball
Correct answer: D. 1.10 g/cm³.
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.