- (a) $5text{ L} = 5 times 1000 = mathbf{5000text{ mL}}$
- (b) $8text{ L } 350text{ mL} = (8 times 1000) + 350 = 8000 + 350 = mathbf{8350text{ mL}}$
- (c) $6text{ L } 40text{ mL} = (6 times 1000) + 40 = 6000 + 40 = mathbf{6040text{ mL}}$
- (d) $2text{ L } 5text{ mL} = 2000 + 5 = mathbf{2005text{ mL}}$
- (e) $14text{ L } 600text{ mL} = 14000 + 600 = mathbf{14600text{ mL}}$
2. Convert into Liters and Milliliters:
- (a) $3750text{ mL} = mathbf{3text{ L } 750text{ mL}}$
- (b) $6090text{ mL} = mathbf{6text{ L } 90text{ mL}}$
- (c) $4005text{ mL} = mathbf{4text{ L } 5text{ mL}}$
- (d) $8000text{ mL} = mathbf{8text{ L}}$
Worksheet 2: Addition and Subtraction of Capacity
| Addition Working | Subtraction Working |
|---|---|
|
Add: $25text{ L } 450text{ mL} + 18text{ L } 650text{ mL}$ L mL (1) (1) 25 450 + 18 650 ————– 44 100 Sum = 44 L 100 mL |
Subtract: $40text{ L } 200text{ mL} – 16text{ L } 750text{ mL}$ L mL (39) (1200) 40 200 – 16 750 ————– 23 450 Difference = 23 L 450 mL |
Worksheet 3: Word Problems on Capacity (With Statements)
Problem 1: A dairy booth sold $38text{ L } 500text{ mL}$ of milk in the morning and $24text{ L } 750text{ mL}$ in the evening. What is the total volume of milk sold that day?
Solution:
Milk sold in the morning = $38text{ L } 500text{ mL}$
Milk sold in the evening = $24text{ L } 750text{ mL}$
Total milk sold = $38text{ L } 500text{ mL} + 24text{ L } 750text{ mL}$
L mL
38 500
+ 24 750
————–
63 250
Answer: The total volume of milk sold is 63 L 250 mL.
Problem 2: An overhead water tank contains $500text{ L } 000text{ mL}$ of water. If the residents used $325text{ L } 450text{ mL}$ during the day, how much water remains in the tank?
Solution:
Total water in tank = $500text{ L } 000text{ mL}$
Water consumed = $325text{ L } 450text{ mL}$
Water remaining = $500text{ L } 000text{ mL} – 325text{ L } 450text{ mL}$
L mL
499 1000
– 325 450
————–
174 550
Answer: 174 L 550 mL of water remains in the tank.
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DAV Board Class 3 Mathematics (Primary Mathematics) | 100% Authentic Textbook Solutions
DAV Class 3 Maths Unit 10 Solutions Capacity
Get complete, step-by-step textbook solutions for DAV Class 3 Primary Mathematics Unit 10: Capacity. This unit covers standard units of liquid measurement (milliliter mL and liter L), conversions between liters and milliliters ($mathbf{1 text{ L} = 1000 text{ mL}}$), column addition and subtraction of capacities with regrouping, and practical everyday liquid measurement word problems strictly aligned with the DAV CMC syllabus.
| Class | Subject | Textbook | Unit Number & Title | Key Mathematical Concepts |
|---|---|---|---|---|
| Class 3 | Mathematics | Primary Mathematics | Unit 10: Capacity | Liter (L), milliliter (mL), conversion, addition & subtraction of liquids, word problems |
Worksheet 1: Units of Capacity & Conversions
Core Mathematical Rule:
$$mathbf{1 text{ Liter (L)} = 1,000 text{ Milliliters (mL)}}$$
• $frac{1}{2} text{ L} = 500 text{ mL}$ | $frac{1}{4} text{ L} = 250 text{ mL}$ | $frac{3}{4} text{ L} = 750 text{ mL}$
1. Convert into Milliliters (mL): Multiply the liters by 1,000 and add the milliliters.
- (a) $5text{ L} = 5 times 1000 = mathbf{5000text{ mL}}$
- (b) $8text{ L } 350text{ mL} = (8 times 1000) + 350 = 8000 + 350 = mathbf{8350text{ mL}}$
- (c) $6text{ L } 40text{ mL} = (6 times 1000) + 40 = 6000 + 40 = mathbf{6040text{ mL}}$
- (d) $2text{ L } 5text{ mL} = 2000 + 5 = mathbf{2005text{ mL}}$
- (e) $14text{ L } 600text{ mL} = 14000 + 600 = mathbf{14600text{ mL}}$
2. Convert into Liters and Milliliters:
- (a) $3750text{ mL} = mathbf{3text{ L } 750text{ mL}}$
- (b) $6090text{ mL} = mathbf{6text{ L } 90text{ mL}}$
- (c) $4005text{ mL} = mathbf{4text{ L } 5text{ mL}}$
- (d) $8000text{ mL} = mathbf{8text{ L}}$
Worksheet 2: Addition and Subtraction of Capacity
| Addition Working | Subtraction Working |
|---|---|
|
Add: $25text{ L } 450text{ mL} + 18text{ L } 650text{ mL}$ L mL (1) (1) 25 450 + 18 650 ————– 44 100 Sum = 44 L 100 mL |
Subtract: $40text{ L } 200text{ mL} – 16text{ L } 750text{ mL}$ L mL (39) (1200) 40 200 – 16 750 ————– 23 450 Difference = 23 L 450 mL |
Worksheet 3: Word Problems on Capacity (With Statements)
Problem 1: A dairy booth sold $38text{ L } 500text{ mL}$ of milk in the morning and $24text{ L } 750text{ mL}$ in the evening. What is the total volume of milk sold that day?
Solution:
Milk sold in the morning = $38text{ L } 500text{ mL}$
Milk sold in the evening = $24text{ L } 750text{ mL}$
Total milk sold = $38text{ L } 500text{ mL} + 24text{ L } 750text{ mL}$
L mL
38 500
+ 24 750
————–
63 250
Answer: The total volume of milk sold is 63 L 250 mL.
Problem 2: An overhead water tank contains $500text{ L } 000text{ mL}$ of water. If the residents used $325text{ L } 450text{ mL}$ during the day, how much water remains in the tank?
Solution:
Total water in tank = $500text{ L } 000text{ mL}$
Water consumed = $325text{ L } 450text{ mL}$
Water remaining = $500text{ L } 000text{ mL} – 325text{ L } 450text{ mL}$
L mL
499 1000
– 325 450
————–
174 550
Answer: 174 L 550 mL of water remains in the tank.
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