Lesson 14.2: Capacity Comparisons and Water Displacement
Applied concepts and practical problem solving for Capacity Comparisons and Water Displacement.
⏱️ Reading Time: 20 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Capacity and Volume
Aquarium Marine Center: Filling fish tanks and testing filtration reservoir levels.
💡 Core Mathematical Concepts: Capacity Comparisons and Water Displacement
Focus areas: Combining container capacities and measuring volume by displacement..
| Concept / Term | Mathematical Meaning | Real-Life Application |
|---|---|---|
| Remaining Capacity | Total capacity minus liquid already present | How much more liquid can fit |
| Equal Sharing of Liquids | Dividing total volume equally among several smaller bottles | Portioning juice |
| Water Displacement | When an object is submerged in water, water level rises by the object's exact volume | Archimedes principle |
📝 Step-by-Step Worked Examples
Worked Example 1: Calculate missing liquid
A 2 L pitcher has 1,350 mL of iced tea. Needs 2,000 - 1,350 = 650 mL more to be full.
Worked Example 2: Displacement test
Measuring cylinder starts at 200 mL; submerged stone raises level to 265 mL -> Stone volume = 65 mL.
⚠️ Common Misconceptions to Avoid
Common Misconception: Subtracting from wrong unit
Correction: Do not subtract 1,350 from 2 directly; convert 2 L to 2,000 mL first!
Common Misconception: Spilling water during displacement
Correction: Displacement only works if no liquid overflows the container.
🎯
Self-Check Challenge
A water cooler holds 15 litres. If students fill 24 sports bottles with 500 mL each, how many litres of water remain in the cooler?
Answer & Explanation:
Water used = 24 × 500 mL = 12,000 mL = 12 L. Remaining = 15 L - 12 L = 3 litres.
🎯 Key Learning Takeaways
Extend understanding of Capacity Comparisons and Water Displacement.
Solve multi-step real-world problems systematically.
Verify solutions through mathematical reasoning.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G5-M-CH14-WS05
A4 • 15 Qs
Capacity and Volume: Worksheet 5
Practice Assessment 5 • Central Botanical Gardens Context
G5-M-CH14-WS04
A4 • 15 Qs
Capacity and Volume: Worksheet 4
Practice Assessment 4 • Eco-Friendly Solar Park Context
G5-M-CH14-WS03
A4 • 15 Qs
Capacity and Volume: Worksheet 3
Practice Assessment 3 • Harbor Marine Terminal Context
G5-M-CH14-WS02
A4 • 15 Qs
Capacity and Volume: Worksheet 2
Practice Assessment 2 • Science & Discovery Museum Context
G5-M-CH14-WS01
A4 • 15 Qs
Capacity and Volume: Worksheet 1
Practice Assessment 1 • City Regional Airport Context
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A leaky faucet drips 5 mL of water every minute. How many liters of water are wasted if the leak drips continuously for 24 hours?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7.2 liters
Step-by-Step Explanation:
In 24 hours = 24 × 60 = 1,440 minutes. Total drip = 1,440 × 5 = 7,200 mL = 7.2 liters.
2
Short Answer
Hard
2 Marks
A rectangular fish tank is 50 cm long, 30 cm wide, and 40 cm tall. If it is filled with water up to a depth of 35 cm, how many liters of water are inside? (Hint: 1,000 cm³ = 1 L).
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
52.5 liters
Step-by-Step Explanation:
Volume = 50 × 30 × 35 = 52,500 cm³. 52,500 ÷ 1,000 = 52.5 liters.
3
Short Answer
Hard
2 Marks
If Container A is tall and narrow while Container B is short and wide, why can both hold the exact same capacity of water?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Liquid capacity is determined by internal 3D volume (length × width × height), not single-dimension height. Container B compensates for height with greater cross-sectional base area.
Step-by-Step Explanation:
Volume is a product of three dimensions; height can be traded for wider base area.
4
Short Answer
Hard
2 Marks
Explain the relationship between 1 cubic centimeter (1 cm³) and 1 milliliter (1 mL) of liquid.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
By international definition in the metric system, 1 cubic centimeter is exactly equivalent to 1 milliliter in volume capacity (1 cm³ = 1 mL).
Step-by-Step Explanation:
1 cm³ of volume displaces exactly 1 mL of fluid capacity.
5
Short Answer
Medium
1 Mark
Maya writes: '1 liter equals 100 milliliters.' Correct Maya's conversion rule.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 liter = 1,000 milliliters
Step-by-Step Explanation:
The prefix 'milli-' means one-thousandth, so 1 L = 1,000 mL.
6
Short Answer
Medium
1 Mark
A student says: '3.5 liters is 350 milliliters.' Explain the error and state the correct milliliter volume.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3,500 mL
Step-by-Step Explanation:
1 liter = 1,000 mL, so 3.5 × 1,000 = 3,500 mL, not 350 mL.
7
Fill in the Blanks
Medium
1 Mark
Find the missing volume to fill a 1-liter jug: 340 mL + [ ? ] mL = 1,000 mL.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
660
Step-by-Step Explanation:
1,000 - 340 = 660 mL.
8
Fill in the Blanks
Medium
1 Mark
Complete the capacity equation: 6 L 50 mL = [ ? ] milliliters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,050
Step-by-Step Explanation:
6 × 1,000 + 50 = 6,050 mL.
9
Short Answer
Medium
1 Mark
An oil tank contains 8 L 400 mL of cooking oil. If 2 L 750 mL is poured out for frying, how much oil remains in the tank?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 L 650 mL
Step-by-Step Explanation:
8,400 mL - 2,750 mL = 5,650 mL = 5 L 650 mL.
10
Short Answer
Medium
1 Mark
A nurse administers 15 mL of liquid medicine to a patient 3 times a day. How much medicine is administered over a full 7-day week?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
315 mL
Step-by-Step Explanation:
Daily dose = 15 × 3 = 45 mL. Over 7 days = 45 × 7 = 315 mL.
11
Short Answer
Medium
1 Mark
At the Central Botanical Gardens, a water reservoir holds 15,000 liters. During maintenance, 4,650 liters were drained in the morning and 3,850 liters in the afternoon. How many liters of water remain in the reservoir?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,500 L
Step-by-Step Explanation:
Total drained = 4,650 + 3,850 = 8,500 L. Remaining = 15,000 - 8,500 = 6,500 liters.
12
Multiple Choice
Easy
1 Mark
How many 250 mL cups of juice can be poured from a 2-liter bottle?
A
8 cups
B
6 cups
C
10 cups
D
4 cups
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 cups
Step-by-Step Explanation:
2 L = 2,000 mL. 2,000 ÷ 250 = 8 cups.
13
Multiple Choice
Easy
1 Mark
What is the volume of a rectangular aquarium measuring 40 cm long, 25 cm wide, and 20 cm deep in cubic centimeters?
A
20,000 cm³
B
10,000 cm³
C
2,000 cm³
D
85 cm³
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20,000 cm³
Step-by-Step Explanation:
Volume = length × width × height = 40 × 25 × 20 = 20,000 cm³.
14
Multiple Choice
Easy
1 Mark
How many liters and milliliters are in 4,820 milliliters?
A
4 L 820 mL
B
48 L 20 mL
C
4 L 82 mL
D
482 L
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 L 820 mL
Step-by-Step Explanation:
4,820 mL = 4,000 mL + 820 mL = 4 L 820 mL.
15
Multiple Choice
Easy
1 Mark
Convert 10 liters into milliliters.
A
10,000 mL
B
1,000 mL
C
100,000 mL
D
1,000 mL
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10,000 mL
Step-by-Step Explanation:
1 liter = 1,000 milliliters. 10 × 1,000 = 10,000 mL.
16
Short Answer
Hard
2 Marks
A leaky faucet drips 5 mL of water every minute. How many liters of water are wasted if the leak drips continuously for 24 hours?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7.2 liters
Step-by-Step Explanation:
In 24 hours = 24 × 60 = 1,440 minutes. Total drip = 1,440 × 5 = 7,200 mL = 7.2 liters.
17
Short Answer
Hard
2 Marks
A rectangular fish tank is 50 cm long, 30 cm wide, and 40 cm tall. If it is filled with water up to a depth of 35 cm, how many liters of water are inside? (Hint: 1,000 cm³ = 1 L).
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
52.5 liters
Step-by-Step Explanation:
Volume = 50 × 30 × 35 = 52,500 cm³. 52,500 ÷ 1,000 = 52.5 liters.
18
Short Answer
Hard
2 Marks
If Container A is tall and narrow while Container B is short and wide, why can both hold the exact same capacity of water?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Liquid capacity is determined by internal 3D volume (length × width × height), not single-dimension height. Container B compensates for height with greater cross-sectional base area.
Step-by-Step Explanation:
Volume is a product of three dimensions; height can be traded for wider base area.
19
Short Answer
Hard
2 Marks
Explain the relationship between 1 cubic centimeter (1 cm³) and 1 milliliter (1 mL) of liquid.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
By international definition in the metric system, 1 cubic centimeter is exactly equivalent to 1 milliliter in volume capacity (1 cm³ = 1 mL).
Step-by-Step Explanation:
1 cm³ of volume displaces exactly 1 mL of fluid capacity.
20
Short Answer
Medium
1 Mark
Maya writes: '1 liter equals 100 milliliters.' Correct Maya's conversion rule.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 liter = 1,000 milliliters
Step-by-Step Explanation:
The prefix 'milli-' means one-thousandth, so 1 L = 1,000 mL.
21
Short Answer
Medium
1 Mark
A student says: '3.5 liters is 350 milliliters.' Explain the error and state the correct milliliter volume.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3,500 mL
Step-by-Step Explanation:
1 liter = 1,000 mL, so 3.5 × 1,000 = 3,500 mL, not 350 mL.
22
Fill in the Blanks
Medium
1 Mark
Find the missing volume to fill a 1-liter jug: 340 mL + [ ? ] mL = 1,000 mL.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
660
Step-by-Step Explanation:
1,000 - 340 = 660 mL.
23
Fill in the Blanks
Medium
1 Mark
Complete the capacity equation: 6 L 50 mL = [ ? ] milliliters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,050
Step-by-Step Explanation:
6 × 1,000 + 50 = 6,050 mL.
24
Short Answer
Medium
1 Mark
An oil tank contains 8 L 400 mL of cooking oil. If 2 L 750 mL is poured out for frying, how much oil remains in the tank?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 L 650 mL
Step-by-Step Explanation:
8,400 mL - 2,750 mL = 5,650 mL = 5 L 650 mL.
25
Short Answer
Medium
1 Mark
A nurse administers 15 mL of liquid medicine to a patient 3 times a day. How much medicine is administered over a full 7-day week?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
315 mL
Step-by-Step Explanation:
Daily dose = 15 × 3 = 45 mL. Over 7 days = 45 × 7 = 315 mL.
26
Short Answer
Medium
1 Mark
At the Eco-Friendly Solar Park, a water reservoir holds 15,000 liters. During maintenance, 4,650 liters were drained in the morning and 3,850 liters in the afternoon. How many liters of water remain in the reservoir?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,500 L
Step-by-Step Explanation:
Total drained = 4,650 + 3,850 = 8,500 L. Remaining = 15,000 - 8,500 = 6,500 liters.
27
Multiple Choice
Easy
1 Mark
How many 250 mL cups of juice can be poured from a 2-liter bottle?
A
8 cups
B
6 cups
C
10 cups
D
4 cups
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 cups
Step-by-Step Explanation:
2 L = 2,000 mL. 2,000 ÷ 250 = 8 cups.
28
Multiple Choice
Easy
1 Mark
What is the volume of a rectangular aquarium measuring 40 cm long, 25 cm wide, and 20 cm deep in cubic centimeters?
A
20,000 cm³
B
10,000 cm³
C
2,000 cm³
D
85 cm³
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20,000 cm³
Step-by-Step Explanation:
Volume = length × width × height = 40 × 25 × 20 = 20,000 cm³.
29
Multiple Choice
Easy
1 Mark
How many liters and milliliters are in 4,820 milliliters?
A
4 L 820 mL
B
48 L 20 mL
C
4 L 82 mL
D
482 L
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 L 820 mL
Step-by-Step Explanation:
4,820 mL = 4,000 mL + 820 mL = 4 L 820 mL.
30
Multiple Choice
Easy
1 Mark
Convert 8 liters into milliliters.
A
8,000 mL
B
800 mL
C
80,000 mL
D
800 mL
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8,000 mL
Step-by-Step Explanation:
1 liter = 1,000 milliliters. 8 × 1,000 = 8,000 mL.
31
Short Answer
Hard
2 Marks
A leaky faucet drips 5 mL of water every minute. How many liters of water are wasted if the leak drips continuously for 24 hours?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7.2 liters
Step-by-Step Explanation:
In 24 hours = 24 × 60 = 1,440 minutes. Total drip = 1,440 × 5 = 7,200 mL = 7.2 liters.
32
Short Answer
Hard
2 Marks
A rectangular fish tank is 50 cm long, 30 cm wide, and 40 cm tall. If it is filled with water up to a depth of 35 cm, how many liters of water are inside? (Hint: 1,000 cm³ = 1 L).
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
52.5 liters
Step-by-Step Explanation:
Volume = 50 × 30 × 35 = 52,500 cm³. 52,500 ÷ 1,000 = 52.5 liters.
33
Short Answer
Hard
2 Marks
If Container A is tall and narrow while Container B is short and wide, why can both hold the exact same capacity of water?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Liquid capacity is determined by internal 3D volume (length × width × height), not single-dimension height. Container B compensates for height with greater cross-sectional base area.
Step-by-Step Explanation:
Volume is a product of three dimensions; height can be traded for wider base area.
34
Short Answer
Hard
2 Marks
Explain the relationship between 1 cubic centimeter (1 cm³) and 1 milliliter (1 mL) of liquid.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
By international definition in the metric system, 1 cubic centimeter is exactly equivalent to 1 milliliter in volume capacity (1 cm³ = 1 mL).
Step-by-Step Explanation:
1 cm³ of volume displaces exactly 1 mL of fluid capacity.
35
Short Answer
Medium
1 Mark
Maya writes: '1 liter equals 100 milliliters.' Correct Maya's conversion rule.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 liter = 1,000 milliliters
Step-by-Step Explanation:
The prefix 'milli-' means one-thousandth, so 1 L = 1,000 mL.
36
Short Answer
Medium
1 Mark
A student says: '3.5 liters is 350 milliliters.' Explain the error and state the correct milliliter volume.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3,500 mL
Step-by-Step Explanation:
1 liter = 1,000 mL, so 3.5 × 1,000 = 3,500 mL, not 350 mL.
37
Fill in the Blanks
Medium
1 Mark
Find the missing volume to fill a 1-liter jug: 340 mL + [ ? ] mL = 1,000 mL.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
660
Step-by-Step Explanation:
1,000 - 340 = 660 mL.
38
Fill in the Blanks
Medium
1 Mark
Complete the capacity equation: 6 L 50 mL = [ ? ] milliliters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,050
Step-by-Step Explanation:
6 × 1,000 + 50 = 6,050 mL.
39
Short Answer
Medium
1 Mark
An oil tank contains 8 L 400 mL of cooking oil. If 2 L 750 mL is poured out for frying, how much oil remains in the tank?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 L 650 mL
Step-by-Step Explanation:
8,400 mL - 2,750 mL = 5,650 mL = 5 L 650 mL.
40
Short Answer
Medium
1 Mark
A nurse administers 15 mL of liquid medicine to a patient 3 times a day. How much medicine is administered over a full 7-day week?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
315 mL
Step-by-Step Explanation:
Daily dose = 15 × 3 = 45 mL. Over 7 days = 45 × 7 = 315 mL.
41
Short Answer
Medium
1 Mark
At the Harbor Marine Terminal, a water reservoir holds 15,000 liters. During maintenance, 4,650 liters were drained in the morning and 3,850 liters in the afternoon. How many liters of water remain in the reservoir?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,500 L
Step-by-Step Explanation:
Total drained = 4,650 + 3,850 = 8,500 L. Remaining = 15,000 - 8,500 = 6,500 liters.
42
Multiple Choice
Easy
1 Mark
How many 250 mL cups of juice can be poured from a 2-liter bottle?
A
8 cups
B
6 cups
C
10 cups
D
4 cups
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 cups
Step-by-Step Explanation:
2 L = 2,000 mL. 2,000 ÷ 250 = 8 cups.
43
Multiple Choice
Easy
1 Mark
What is the volume of a rectangular aquarium measuring 40 cm long, 25 cm wide, and 20 cm deep in cubic centimeters?
A
20,000 cm³
B
10,000 cm³
C
2,000 cm³
D
85 cm³
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20,000 cm³
Step-by-Step Explanation:
Volume = length × width × height = 40 × 25 × 20 = 20,000 cm³.
44
Multiple Choice
Easy
1 Mark
How many liters and milliliters are in 4,820 milliliters?
A
4 L 820 mL
B
48 L 20 mL
C
4 L 82 mL
D
482 L
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 L 820 mL
Step-by-Step Explanation:
4,820 mL = 4,000 mL + 820 mL = 4 L 820 mL.
45
Multiple Choice
Easy
1 Mark
Convert 6 liters into milliliters.
A
6,000 mL
B
600 mL
C
60,000 mL
D
600 mL
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6,000 mL
Step-by-Step Explanation:
1 liter = 1,000 milliliters. 6 × 1,000 = 6,000 mL.
46
Short Answer
Hard
2 Marks
A leaky faucet drips 5 mL of water every minute. How many liters of water are wasted if the leak drips continuously for 24 hours?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7.2 liters
Step-by-Step Explanation:
In 24 hours = 24 × 60 = 1,440 minutes. Total drip = 1,440 × 5 = 7,200 mL = 7.2 liters.
47
Short Answer
Hard
2 Marks
A rectangular fish tank is 50 cm long, 30 cm wide, and 40 cm tall. If it is filled with water up to a depth of 35 cm, how many liters of water are inside? (Hint: 1,000 cm³ = 1 L).
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
52.5 liters
Step-by-Step Explanation:
Volume = 50 × 30 × 35 = 52,500 cm³. 52,500 ÷ 1,000 = 52.5 liters.
48
Short Answer
Hard
2 Marks
If Container A is tall and narrow while Container B is short and wide, why can both hold the exact same capacity of water?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Liquid capacity is determined by internal 3D volume (length × width × height), not single-dimension height. Container B compensates for height with greater cross-sectional base area.
Step-by-Step Explanation:
Volume is a product of three dimensions; height can be traded for wider base area.
49
Short Answer
Hard
2 Marks
Explain the relationship between 1 cubic centimeter (1 cm³) and 1 milliliter (1 mL) of liquid.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
By international definition in the metric system, 1 cubic centimeter is exactly equivalent to 1 milliliter in volume capacity (1 cm³ = 1 mL).
Step-by-Step Explanation:
1 cm³ of volume displaces exactly 1 mL of fluid capacity.
50
Short Answer
Medium
1 Mark
Maya writes: '1 liter equals 100 milliliters.' Correct Maya's conversion rule.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 liter = 1,000 milliliters
Step-by-Step Explanation:
The prefix 'milli-' means one-thousandth, so 1 L = 1,000 mL.