1. Volume
and
Capacity By
Teacher Angelo

2. Volume – is the amount of space occupied by an object.
aquarium
box
Volume – is the amount of space occupied by an object.

3. bottle
cups
jug
pitcher

4. mugs
Capacity - is the amount of objects or substances that a container can hold to its maximum.

5. Dimensions of cube Length = Width = Height
*A cube has 6 equal and square faces.

6. Dimensions of cuboid
*A cuboid has six rectangular faces.

7. Example 1: Find the dimensions
of the cuboid.
Answer:
Length = 16 cm
Width = 9 cm
Height = 4 cm

8. Example 2: Find the dimensions
of the cuboid.
Answer:
Length = _________
Width = _________
Height = _________
3 cm
3 cm
4 cm

9. Special Seatwork (5 points)
Find the dimensions of the cuboid.
Answer:
Length = _________
Width = _________
Height = _________
9 in
5 in
3 in

10. Volume of Cube = lwh = s3 = (s)(s)(s) Volume = lwh = (1 u)(1 u)(1 u)
Volume = (length)(width)(height)
= lwh
= s3
= (s)(s)(s)
Volume = lwh
= (1 u)(1 u)(1 u)
= 1 u3
= 1 cubic unit

11. Example 1
Find the volume of the cube.
Working:
V = s3
= (5 cm)3
= (5 cm)(5 cm)(5 cm)
V = 125 cm3

12. Example 2 2cm Working Volume = lwh V = (2cm)(2cm)(2cm) V = 8 cm³
Calculate the
volume of the dice.

13. Special Seatwork (5 points)
Find the volume of the cube.

14. Volume of a cuboid 18 cubes fit the base. = 1 cubic centimeter = 1 cm³
4 layers of 18 cubes
= 4 x 18
= 72 centimetre cubes
= 72 cm³

15. Volume of Cuboid
Volume = (length)(width)(height)
= lwh

16. V = lwh = (4 cm)(3cm)(2 cm) V = 24 cm³ Example 1
Find the volume of the cube.
V = lwh
= (4 cm)(3cm)(2 cm)
V = 24 cm³

17. Find the volume of the building.
Example 2
Find the volume of the building.
Building
Roi-Et
Plaza
Working
27cm
Volume = lwh
V = (18cm)(5cm)(27cm)
V = 2,430 cm³
5 cm
18 cm

18. Special Seatwork (5 points)
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

19. Special Seatwork (5 points)
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

20. Special Seatwork (5 points)
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

21. Special Seatwork (5 points)
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

22. Special Seatwork (5 points)
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

23. Workbook Exercise A
Number 1 and 2
Page 101 to 102

24. Workbook Exercise B
Letter A, B, C and D
Page 103 to 106

25. Converting metric units of volume and capacity
Metric units of volume/capacity
1 liter =
1,000 cubic centimeters(cm3)
1,000 cubic milliliters(mL)
1 milliliter
1 cubic centimeters(cm3 or cc)
1 cubic meter
1,000 liters(L)
1,000,000 cubic centimeters(cm3)

26. Converting larger units to smaller units
Example 1
Convert 3 L to cubic centimeters.
Working:
1 L = 1,000 cm3
3 L = (3 L) 1,000 cm3
1 L
= (3)(1,000 cm3)
= 3,000 cm3

27. Example 2
Convert 9 m3 to cubic centimeters.
Working:
1 m3 = 1,000,000 cm3
9 m3 = (9 m3) 1,000,000 cm3
1 m3
= (9)(1,000,000 cm3)
= 9,000,000 cm3

28. Example 2
Convert 2 L to milliliters.
Working:
1 L = 1,000 mL
2 L = (2 L) 1,000 mL
1 L
= (9)(1,000,000 cm3)
= 9,000,000 cm3

29. Converting smaller units to larger units
Example 1
Convert 5,000 m3 to liters.
Working:
1 m3 = 1,000 L
5,000 m3 = (5,000 m3) ,000 L
1 m3
= (5,000)(1,000 L)
= 5,000,000 L

30. Convert 2,000,000 cm3 to cubic meters.
Example 2
Convert 2,000,000 cm3 to cubic meters.
Working:
1,000,000 cm3 = 1 m3
2,000,000 cm3 = (2,000,000 cm3) m3
1,000,000 cm3
= (2)(1 m3)
= 2 m3

31. Example 3 Convert 10,000 mL to liters. Working: = (10)(1 L) = 10 L
1,000 mL = 1 L
10,000 mL = (10,000 mL ) L
1,000 mL
= (10)(1 L)
= 10 L

32. Special Seatwork ( 5 points)
1.) Convert 45 m3 to liters.

33. Special Seatwork ( 5 points)
2.) How many cubic meters are there in 29,000 L?

34. Special Seatwork ( 5 points)
3.) An aquarium contains 25,000 cm3 of water. What is the volume of the water in milliliters?

35. Workbook Exercise C
Number 1and 2
Page 107 to 108

36. Workbook
Challenging Exercise
Number 1to 4
Page 109 to 111

37. REVIEW Find the dimensions of the cuboid. Answer: Length = _________
Roulette P 5/11
Answer:
Length = _________
Width = _________
Height = _________
Roulette P 5/12

38. REVIEW Find the dimensions of the cuboid. Answer: Length = _________
Roulette P 5/11
Answer:
Length = _________
Width = _________
Height = _________
Roulette P 5/12

39. REVIEW
Find the volume of the cuboid.
Roulette P 5/11
Roulette P 5/12

40. REVIEW What is the volume of a cube if one of its side is 12 cm?
Roulette P 5/11
Roulette P 5/12

41. REVIEW
The length of a cuboid is 14 m, the width is 11 m, and the height is 12 m. What is its volume?
Roulette P 5/11
Roulette P 5/12

42. REVIEW Convert 9 m3 to cubic centimeters. Roulette P 5/11

43. REVIEW How many cubic centimeters are there in 12 cubic meter?
Roulette P 5/11
Roulette P 5/12

44. REVIEW How many liters are there in 78 m3? Roulette P 5/11

45. REVIEW Draw an object that has volume and capacity. Roulette P 5/11

46. REVIEW
A cuboid has a volume of 400 cm3, its width is 5 cm and its height is 10 cm. What is the measure of its length?
Roulette P 5/11
Roulette P 5/12