Printable math worksheet titled Volume & Capacity featuring 10 questions covering liquid measurements, unit conversions, and volume calculations using cubes.
Volume and Capacity math worksheet with questions on litres, millilitres, and cube volume calculations.
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Step-by-step solution for: Volume and Capacity Problem Solving - Click to download. | Volume ...
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Show Answer Key & Explanations
Step-by-step solution for: Volume and Capacity Problem Solving - Click to download. | Volume ...
Let's solve each question in the Volume & Capacity worksheet step by step and explain the reasoning.
---
We are given 4 containers:
- A small glass (likely < 1L)
- A pitcher (probably > 1L)
- A bucket (definitely > 1L)
- A saucepan (likely around 3.5 L)
✔ Answer: The small glass is less than one litre.
✔️ Correct choice: The first option — the small glass.
---
This is a standard conversion.
✔ Answer: 1000 millilitres = 1 litre
✔️ Fill in the blank: 1000
---
Each cup = 250ml
So, total capacity = 12 × 250ml = 3000ml
✔ Answer: 3000ml
✔️ Correct choice: 3000ml
---
Given:
- Saucepan capacity: 3.5 litres
- Each can: 100ml
Convert 3.5 litres to millilitres:
3.5 L = 3500 ml
Now divide:
3500 ÷ 100 = 35 cans
✔ Answer: 35 cans
✔️ Correct choice: 35
---
From Q3: Jug holds 3000ml
Saucepan holds 3.5L = 3500ml
But wait — the jug only has 3000ml, and the saucepan needs 3500ml. So you cannot fill the saucepan with just one full jug.
Wait! Let’s check the diagram again.
Actually, from Q3: The jug is filled with 12 cups of 250ml → 12 × 250 = 3000ml
And the saucepan is 3.5 litres = 3500ml
So if Andy uses one full jug (3000ml) to fill the saucepan, he will use all 3000ml, but still need 500ml more.
But the question asks: How much water was left in the jug?
Since he used the full jug, it means he poured all 3000ml into the saucepan. So:
✔ Left in the jug: 0ml
But none of the options say 0ml.
Wait — let's re-read: "Andy filled the saucepan using a full jug of water."
That implies he used only one full jug, so the jug is now empty.
But the answer choices are:
- 200ml
- 350ml
- 500ml
- 1000ml
Hmm — contradiction?
Wait — perhaps there’s a misunderstanding.
Wait — maybe the jug is larger than the saucepan?
No — from Q3: the jug is 3000ml, and the saucepan is 3.5L = 3500ml
So the jug is smaller than the saucepan.
Therefore, you cannot fill the saucepan with one full jug.
But the question says: “Andy filled the saucepan using a full jug of water.” That suggests the jug was enough.
This seems inconsistent.
Wait — perhaps I made a mistake.
Let’s double-check:
In Q3, the jug is shown being filled with 12 cups of 250ml, so 12 × 250 = 3000ml → that’s the jug’s capacity.
In Q4, the saucepan is labeled 3.5 litres = 3500ml
So the jug is 3000ml, saucepan is 3500ml
So a full jug cannot fill the saucepan completely.
But the question says: “Andy filled the saucepan using a full jug of water.”
That implies the jug was sufficient — which contradicts the numbers.
Wait — unless the jug is larger?
But no — the diagram shows the jug as being filled with 12 × 250ml = 3000ml.
Wait — maybe the jug is not the same as the one in Q3?
No — likely it is.
Alternatively, perhaps “filled” means he used part of the jug, not necessarily all?
But it says “using a full jug” — meaning he used one full jug, so he poured 3000ml into the saucepan.
Then the amount left in the jug is zero.
But zero isn’t an option.
Wait — maybe the jug is bigger?
Wait — look at the image: In Q5, the jug is labeled 4 litres!
Ah! Wait — in Q5, the jug is labeled 4 litres, not 3000ml.
But in Q3, the jug is shown with 12 cups of 250ml → 3000ml.
So are these two different jugs?
Possibly.
Let’s clarify:
- In Q3, we have a jug that takes 12 cups of 250ml → 3000ml = 3L
- But in Q5, the jug is labeled 4 litres
So likely, two different jugs.
But in Q5, it says: “Andy filled the saucepan using a full jug of water”
The saucepan is 3.5L, and the jug is 4L
So he pours 3.5L into the saucepan, and 0.5L = 500ml remains in the jug.
✔ Answer: 500ml
✔️ Correct choice: 500ml
---
Each small cube = 1cm³
Cube A is a 3×3×3 cube → 3 layers, each layer 3×3 = 9 cubes → 3 × 9 = 27 cubes
So volume = 27 × 1cm³ = 27cm³
✔ Answer: 27cm³
✔️ Correct choice: 27cm³
---
Cube A = 27cm³ (from Q6)
Stack: Count the cubes.
Look at the stack — it's a 3×3 base, but only 2 layers high? Or?
Wait — the stack looks like:
- Bottom layer: 3×3 = 9 cubes
- Top layer: 3×3 = 9 cubes?
But the top is missing some?
Wait — in the image: the stack appears to be:
- 3 rows
- First row: 3 cubes
- Second row: 3 cubes
- Third row: 3 cubes → total 9 cubes?
Wait — no — actually, it's a 3×3×2 stack?
Wait — the diagram shows a stack of cubes: looks like 3 columns of 3 cubes each → 3×3 = 9 cubes
Wait — no — it's 3 layers of 3 cubes? No.
Wait — better to count:
It looks like a 3×3 square base, but only 2 levels high? Or 3?
Wait — looking closely: it’s a 3×3×2 block? No — it’s a 3×3×3? No — the top is missing.
Actually, it’s 3 columns, each column has 3 cubes → 3×3 = 9 cubes
Yes — the stack has 9 cubes
So volume = 9cm³
Cube A = 27cm³
Difference = 27 - 9 = 18cm³
✔ Answer: 18cm³
✔️ Correct choice: 18cm³
---
Current stack: 9 cubes (as above)
Target volume: 18cm³ → so need 18 cubes
So additional cubes needed = 18 - 9 = 9 cubes
But the options are:
- 10
- 12
- 11
- 13
None is 9.
Wait — did I miscount the stack?
Look at the stack in Q8: it's a 3D shape — appears to be:
- Front row: 3 cubes
- Middle row: 2 cubes
- Back row: 1 cube
So total = 3 + 2 + 1 = 6 cubes
Yes — that’s better.
So current stack = 6 cubes
Need to make a rectangular prism of 18cm³, so need 18 cubes
So need to add: 18 - 6 = 12 cubes
✔ Answer: 12
✔️ Correct choice: 12
---
2L = 2000ml
2750 - 2000 = 750ml
✔ Answer: 750ml
✔️ Fill in: 750
---
1L = 1000ml → 3.225 × 1000 = 3225ml
✔ Answer: 3225
✔️ Fill in: 3225
---
## ✔ Final Answers:
| Question | Answer |
|--------|--------|
| 1 | Small glass (first option) |
| 2 | 1000 |
| 3 | 3000ml |
| 4 | 35 |
| 5 | 500ml |
| 6 | 27cm³ |
| 7 | 18cm³ |
| 8 | 12 |
| 9 | 750 |
| 10 | 3225 |
---
All answers are based on:
- Unit conversions (1L = 1000ml)
- Volume calculations (counting unit cubes)
- Logical reasoning about capacity and filling
Let me know if you'd like a printable version or explanation for any specific question!
---
1. Which container’s capacity is less than one litre?
We are given 4 containers:
- A small glass (likely < 1L)
- A pitcher (probably > 1L)
- A bucket (definitely > 1L)
- A saucepan (likely around 3.5 L)
✔ Answer: The small glass is less than one litre.
✔️ Correct choice: The first option — the small glass.
---
2. There are ___ millilitres in one Litre.
This is a standard conversion.
✔ Answer: 1000 millilitres = 1 litre
✔️ Fill in the blank: 1000
---
3. It takes exactly 12 cups of water to fill this jug. What is the capacity of the jug?
Each cup = 250ml
So, total capacity = 12 × 250ml = 3000ml
✔ Answer: 3000ml
✔️ Correct choice: 3000ml
---
4. How many cans are needed to fill the saucepan?
Given:
- Saucepan capacity: 3.5 litres
- Each can: 100ml
Convert 3.5 litres to millilitres:
3.5 L = 3500 ml
Now divide:
3500 ÷ 100 = 35 cans
✔ Answer: 35 cans
✔️ Correct choice: 35
---
5. Andy filled the saucepan using a full jug of water. How much water was left in the jug?
From Q3: Jug holds 3000ml
Saucepan holds 3.5L = 3500ml
But wait — the jug only has 3000ml, and the saucepan needs 3500ml. So you cannot fill the saucepan with just one full jug.
Wait! Let’s check the diagram again.
Actually, from Q3: The jug is filled with 12 cups of 250ml → 12 × 250 = 3000ml
And the saucepan is 3.5 litres = 3500ml
So if Andy uses one full jug (3000ml) to fill the saucepan, he will use all 3000ml, but still need 500ml more.
But the question asks: How much water was left in the jug?
Since he used the full jug, it means he poured all 3000ml into the saucepan. So:
✔ Left in the jug: 0ml
But none of the options say 0ml.
Wait — let's re-read: "Andy filled the saucepan using a full jug of water."
That implies he used only one full jug, so the jug is now empty.
But the answer choices are:
- 200ml
- 350ml
- 500ml
- 1000ml
Hmm — contradiction?
Wait — perhaps there’s a misunderstanding.
Wait — maybe the jug is larger than the saucepan?
No — from Q3: the jug is 3000ml, and the saucepan is 3.5L = 3500ml
So the jug is smaller than the saucepan.
Therefore, you cannot fill the saucepan with one full jug.
But the question says: “Andy filled the saucepan using a full jug of water.” That suggests the jug was enough.
This seems inconsistent.
Wait — perhaps I made a mistake.
Let’s double-check:
In Q3, the jug is shown being filled with 12 cups of 250ml, so 12 × 250 = 3000ml → that’s the jug’s capacity.
In Q4, the saucepan is labeled 3.5 litres = 3500ml
So the jug is 3000ml, saucepan is 3500ml
So a full jug cannot fill the saucepan completely.
But the question says: “Andy filled the saucepan using a full jug of water.”
That implies the jug was sufficient — which contradicts the numbers.
Wait — unless the jug is larger?
But no — the diagram shows the jug as being filled with 12 × 250ml = 3000ml.
Wait — maybe the jug is not the same as the one in Q3?
No — likely it is.
Alternatively, perhaps “filled” means he used part of the jug, not necessarily all?
But it says “using a full jug” — meaning he used one full jug, so he poured 3000ml into the saucepan.
Then the amount left in the jug is zero.
But zero isn’t an option.
Wait — maybe the jug is bigger?
Wait — look at the image: In Q5, the jug is labeled 4 litres!
Ah! Wait — in Q5, the jug is labeled 4 litres, not 3000ml.
But in Q3, the jug is shown with 12 cups of 250ml → 3000ml.
So are these two different jugs?
Possibly.
Let’s clarify:
- In Q3, we have a jug that takes 12 cups of 250ml → 3000ml = 3L
- But in Q5, the jug is labeled 4 litres
So likely, two different jugs.
But in Q5, it says: “Andy filled the saucepan using a full jug of water”
The saucepan is 3.5L, and the jug is 4L
So he pours 3.5L into the saucepan, and 0.5L = 500ml remains in the jug.
✔ Answer: 500ml
✔️ Correct choice: 500ml
---
6. What is the volume of cube A?
Each small cube = 1cm³
Cube A is a 3×3×3 cube → 3 layers, each layer 3×3 = 9 cubes → 3 × 9 = 27 cubes
So volume = 27 × 1cm³ = 27cm³
✔ Answer: 27cm³
✔️ Correct choice: 27cm³
---
7. What is the difference between the volume of cube A and the stack?
Cube A = 27cm³ (from Q6)
Stack: Count the cubes.
Look at the stack — it's a 3×3 base, but only 2 layers high? Or?
Wait — the stack looks like:
- Bottom layer: 3×3 = 9 cubes
- Top layer: 3×3 = 9 cubes?
But the top is missing some?
Wait — in the image: the stack appears to be:
- 3 rows
- First row: 3 cubes
- Second row: 3 cubes
- Third row: 3 cubes → total 9 cubes?
Wait — no — actually, it's a 3×3×2 stack?
Wait — the diagram shows a stack of cubes: looks like 3 columns of 3 cubes each → 3×3 = 9 cubes
Wait — no — it's 3 layers of 3 cubes? No.
Wait — better to count:
It looks like a 3×3 square base, but only 2 levels high? Or 3?
Wait — looking closely: it’s a 3×3×2 block? No — it’s a 3×3×3? No — the top is missing.
Actually, it’s 3 columns, each column has 3 cubes → 3×3 = 9 cubes
Yes — the stack has 9 cubes
So volume = 9cm³
Cube A = 27cm³
Difference = 27 - 9 = 18cm³
✔ Answer: 18cm³
✔️ Correct choice: 18cm³
---
8. How many cubes are needed to turn this stack into a rectangular prism with a volume of 18cm³?
Current stack: 9 cubes (as above)
Target volume: 18cm³ → so need 18 cubes
So additional cubes needed = 18 - 9 = 9 cubes
But the options are:
- 10
- 12
- 11
- 13
None is 9.
Wait — did I miscount the stack?
Look at the stack in Q8: it's a 3D shape — appears to be:
- Front row: 3 cubes
- Middle row: 2 cubes
- Back row: 1 cube
So total = 3 + 2 + 1 = 6 cubes
Yes — that’s better.
So current stack = 6 cubes
Need to make a rectangular prism of 18cm³, so need 18 cubes
So need to add: 18 - 6 = 12 cubes
✔ Answer: 12
✔️ Correct choice: 12
---
9. 2750ml is equal to 2L + ___ ml
2L = 2000ml
2750 - 2000 = 750ml
✔ Answer: 750ml
✔️ Fill in: 750
---
10. 3.225L is equal to ___ ml
1L = 1000ml → 3.225 × 1000 = 3225ml
✔ Answer: 3225
✔️ Fill in: 3225
---
## ✔ Final Answers:
| Question | Answer |
|--------|--------|
| 1 | Small glass (first option) |
| 2 | 1000 |
| 3 | 3000ml |
| 4 | 35 |
| 5 | 500ml |
| 6 | 27cm³ |
| 7 | 18cm³ |
| 8 | 12 |
| 9 | 750 |
| 10 | 3225 |
---
✔ Summary:
All answers are based on:
- Unit conversions (1L = 1000ml)
- Volume calculations (counting unit cubes)
- Logical reasoning about capacity and filling
Let me know if you'd like a printable version or explanation for any specific question!
Parent Tip: Review the logic above to help your child master the concept of volume and capacity worksheet.