2. Volume is the number of cubic units
contained in a solid figure.
VOLUME
Progress:
3. Volume of Cube
The volume of a cube is equal to
the length of its side multiplied
by itself three times.
V = s x s x s
4. What is the volume of this
cube with an edge of 2
cm?
V = s x s x s
V = 2cm x 2cm x 2cm
V = 8 cm3
Solve:
5. Volume of Rectangular
Prism
To get the volume of
a rectangular prism,
multiply its length,
width and height.
V = l x w x h
6. What is the volume of this
rectangular prism with
dimensions 6cm, 5cm, and
4cm?
V = l x w x h
V = 6cm x 5cm x 4cm
V =120 cm3
Solve:
7. involves using at least one
of the four operations to
solve problems that are
practical in nature.
Routine Problems
8. Routine vs Non-routine Problem
Routine Problem Non-Routine
Real life problem Complex problem
Involve one mathematical operation
Require more than one
mathematical operation
Basic skills and sequence steps
Use critical and creative thinking
skills
Solving through storytelling and
relate it to the real situation.
Various strategies and methods to
solve it
9. Understand
the problem 01
What is asked?
What are the given
facts?
Solve
03
Perform the strategy
Plan to solve
the problem
02 What process will be
used?
What is the mathematical
Sentence?
Check
04 Verify the solution if
correct
Follow the four-step plan to solve the
problem
10. Example 1: Routine Problem
Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width of
7 centimeters and a height of 11 centimeters.
What is the volume of the giftbox?
11. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
The volume of
the giftbox
12. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
12 cm long,
7 cm wide,
11 cm high
13. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
Multiplication
14. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
V = 12 cm x 7 cm x 11
cm
15. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
V = l x w x h
V = 12 cm x 7 cm x 11 cm
V = 924 cubic centimeters
16. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
The volume of the giftbox
is 924 cubic centimeters
17. Julia bought a gift for her Mother’s birthday and wrap it
in a giftbox having a length of 12 centimeters, a width
of 7 centimeters and a height of 11 centimeters. What
is the volume of the giftbox?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
● Check
12
x 7
84
x 11
924 cu.cm
18. Example 2: Routine Problem
A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with trashes,
what is the volume of the compost pit?
19. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
The volume of
the compost
pit
20. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
1.5 meter
21. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
Multiplication
22. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
V = 1.5 m x 1.5 m x
1.5 m
23. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
V = s x s x s
V = 1.5 m x 1.5 m x 1.5 m
V = 3.375 cubic meters
24. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
The volume of the
compost pit is 3.375 cubic
meters
25. A cuboid compost pit in Masagana Elementary School
measures 1.5 m on each edge. If it is filled with
trashes, what is the volume of the compost pit?
● What is asked?
● What are the given facts?
● What process will be used?
● What is the mathematical
Sentence?
● Perform the strategy
● What is the answer?
● Check
1.5
x 1.5
2.25
X 1.5
3.375
26. any complex problem that
requires some degree of
creativity or originality to
solve
Non-routine Problems
27. Example 1: Non-routine Problem
Michael wants to put blue blocks and green blocks into
the storage bin. How many blue blocks will fit into the
storage bin? How about the green blocks?
28. Example 1: Non-Routine Problem
Michael wants to put blue blocks and green blocks into the
storage bin. How many blue blocks will fit into the storage bin?
How about the green blocks?
29. Michael wants to put blue blocks and green blocks into the
storage bin. How many blue blocks will fit into the storage bin?
How about the green blocks?
To get the total number of blue
blocks that can fit in the storage
bin, divide the dimensions of the
bin by the corresponding
dimensions of the blue block.
2 x 2 x 1 = 4
4 blocks
Storage
bin
Blue block Divide
Length 30 meters 30 meters 1
Width 8 meters 4 meters 2
Height 12 meters 6 meters 2
30. Michael wants to put blue blocks and green blocks into the
storage bin. How many blue blocks will fit into the storage bin?
How about the green blocks?
To get the total number of blue
blocks that can fit in the storage
bin, divide the dimensions of the
bin by the corresponding
dimensions of the blue block.
2 x 2 x 1 = 4
4 blocks
Storage
bin
Blue block Divide
Length 30 meters 30 meters 1
Width 8 meters 4 meters 2
Height 12 meters 6 meters 2
31. Michael wants to put blue blocks and green blocks into the
storage bin. How many blue blocks will fit into the storage bin?
How about the green blocks?
To get the total number of green
blocks that can fit in the storage
bin, divide the dimensions of the
bin by the corresponding
dimensions of the green block.
3 x 4 x 3 = 36
36 green blocks
Storage
bin
Green
block
Divide
Length 30 meters 10 meters 3
Width 8 meters 2 meters 4
Height 12 meters 4 meters 3
32. Michael wants to put blue blocks and green blocks into the
storage bin. How many blue blocks will fit into the storage bin?
How about the green blocks?
To get the total number of green
blocks that can fit in the storage
bin, divide the dimensions of the
bin by the corresponding
dimensions of the green block.
3 x 4 x 3 = 36
36 green blocks
Storage
bin
Green
block
Divide
Length 30 meters 10 meters 3
Width 8 meters 2 meters 4
Height 12 meters 4 meters 3
33. Example 2: Non-routine Problem
Small cubes of sides 6 cm each are joined to form a big
cube. Find the volume of the big cube that is formed.
34. Example 2: Non-Routine Problem
Small cubes of sides 6 cm each are joined to form a big cube.
Find the volume of the big cube that is formed.
35. Example 2: Non-Routine Problem
Small cubes of sides 6 cm each are joined to form a big cube.
Find the volume of the big cube that is formed.
Find the volume of the small cubes first.
V = s x s x s
V = 6cm x 6cm x 6cm
V = 216 cubic centimeters.
36. Example 2: Non-Routine Problem
Small cubes of sides 6 cm each are joined to form a big cube.
Find the volume of the big cube that is formed.
Volume of small cube = 216 cu.cm
Then, Multiply the volume of the small cube to
The number of small cubes in the big cube
Volume of big cube = 216 cm3 x 8
Volume of big cube = 1,728 cm3
1
2
3
4
5 6
7
8
37. You can now start
answering your
math worksheet
Week 4 ONLY
MATH 5 WORKSHEET WEEK 4
Progress:
