This document provides an overview of a mathematics lesson on volume of cubes and rectangular prisms. The lesson begins with a review of volume concepts and formulas. It then provides examples of calculating the volume of cubes and rectangular prisms. Students are expected to visualize and calculate volumes, as well as solve related problems involving cubes and rectangular prisms.

1. MATHEMATICS 5
QUARTER 4 WEEK 2
VOLUME OF CUBE AND
RECTANGULAR PRISM
Ms. Estelle May B. Augusto

8. Very Good!

9. GOOD
MORNING
EVERYONE!
Teacher Estelle

11. Let’s have a
quick review.

12. If a circular flower garden has a diameter of 3.2m, what
is the area of the circular?
a.8.0384m2
b.13.8474m2
c. 55.3896m2
Ariel wanted to know the area of a children’s swimming
pool which he will look after as a life guard. He was
informed that its radius is 3.5m. What is its area?

13. At the end of the class you are
expected to:
- Visualize the volume of cube and rectangular
prism.
- Find the volume of a given cube and
rectangular prism using cu.cm(𝑐𝑚3) and cu.m
(𝑚3)
- Solve problems involving volume of cube and
rectangular prism.

14. Cube- it has three dimensions.
(Length, width, height)
Volume is express in cubic units
𝑐𝑢3 . It is the unit for measuring
volume.
The number of cubic units
needed to make or fill a solid
figure is called the volume.
1 cubic unit
H
L
W

15. Rectangular Prism- is a polyhedron with two congruent
and parallel bases. It is also a cuboid.
Volume is express in cubic units
𝑐𝑢3 . It is the unit for measuring
volume.
The number of cubic units
needed to make or fill a solid
figure is called the volume.
1 cubic unit
H
L
W

16. Volume of a Cube
Side times side times side. Since each
side of a square is the same, it can
simply be the length of one side cubed.
𝑽 = 𝒔𝟑
Wherein:
𝑉 = 𝑣𝑜𝑙𝑢𝑚𝑒
S= side
Solution: 𝑽 = 𝒔𝟑
𝑽 = 𝟓𝟑
𝑽 = 𝟓 𝒙 𝟓 𝒙 𝟓
V= 𝟏𝟐𝟓 𝒄𝒎𝟑
5cm

17. Volume of a Rectangular Prism
Multiply its 3 dimensions (length, width
and height)
𝑽 = 𝒍 𝒙 𝒘𝒙 𝒉
Wherein:
𝑉 = 𝑣𝑜𝑙𝑢𝑚𝑒
L= length
W= width
H= height
Solution: 𝑽 = 𝒍 𝒙 𝒘 𝒙 𝒉
𝑽 = 𝟕 𝒙 𝟐 𝒙 𝟒
𝑽 = 𝟏𝟒 𝒙 𝟒
V= 𝟓𝟔 𝒎𝟑
4m
7m
2m

18. SOLVING PROBLEMS
INVOLVING VOLUME
OF CUBE AND
RECTANGULAR
PRISM

19. Example:
A swimming pool has length of 12m, a width of 6m and a height
of 5m. How much is needed to fill the swimming pool?
What is asked in the problem?
The amount of water needed to fill the swimming pool.
What are the given facts?
Length is 12m, width is 6m and height is 5m
What operation or formula to be use?
V= l x w x h

20. Example:
A swimming pool has length of 12m, a width of 6m and a height
of 5m. How much is needed to fill the swimming pool?
V= l x w x h
12m
6m
5m
Solution: V= l x w x h
V= 12 x 6 x 5
V= 72 x 5
V= 360 𝒎𝟑

21. Example 2:
A cube has a side measuring 10cm. What is its volume?
10 cm
Solution: V= 𝒔𝟑
V= 𝟏𝟎𝟑
V= 10 x 10 x 10
V= 100 x 10
V= 1000 𝒎𝟑

22. Example 3:
A box has 20cm length, 20 cm height and a volume is 4,000
𝒄𝒎𝟑
. Find the width of the box?
What are the given facts?
Solution:
20cm length
20cm height
4000 𝒄𝒎𝟑 volume
______width
1. Multiply the length by the height
20 cm x 20 cm= 400
2. Divide the volume by the product of the
length and height to calculate the rectangular
prism’s width.
4000 ÷ 400= 10
Length- 20 cm
Height- 20cm
Width- 10cm
Volume- 4000 c𝒎𝟑
width= 10 𝒄𝒎𝟑

23. Example 4:
The volume of cube is 512 𝒎𝟑
. What is the measure of its side?
Volume of the cube = 512 𝒎𝟑
=side x side x side
= 𝒔𝒊𝒅𝒆𝟑 S= 3√v
S= 3√512
S= 8 m

24. V O L U M E

26. Thank You!
Have a nice
day ahead.

33. “Nawawalang
Detalye,
Kumpletuhin mo”

34. Pagsabog ng
bulkang
Taal
Pagkamatay ni
Koby Bryant
Marso 15
Pagbubukas
ng klase.
Buwan ng
Nobyembre

35. Mahusay!

36. Alam niyo
ba ang
timeline?

38. “Timeline ng
kasaysayan,
Buuin mo”

41. Mahusay!

42. Pagsusuri.

43. TANDAAN:
Mahalagang magkaroon tayo ng
kamalayan at kaalaman mula sa mga
pangyayaring nagaganap sa ating bansa
maging sa buong mundo. Dahil ito ay
makatutulong sa atin upang magkaroon ng
magandang kasanayan at katangian bilang
isang Pilipino.

44. Maraming salamat at
hanggang sa susunod
nating klase.
Titser Estelle

45. Respect
other’s
property

46. …they know what’s best for you
Follow the
teacher’s
directions…

47. Help keep the
classroom clean

48. Be quiet when your
classmates are
speaking

49. Ask
questions

50. Be proud
of your
work
Take pride in what you do!

51. Listen to all the
teachers

52. Obey all
school rules

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