a detailed lesson plan in mathematics VI(volume of rectangular prism
A Detailed Lesson Plan in Mathematics VI
At the end of the lesson the pupils should be able to;
Derive a formula for findings the volume of rectangular prism
Find a volume of rectangular prism
Write solution in finding volumes of rectangular prisms correctly
Work cooperatively to achieve best result
II. Subject Matter
A. Topic: Volume of Rectangular Prisms
B. Skills: Finding volume of rectangular prisms
C. References: PELC IV.B1,3
D. Materials: transparent rectangular containers, small cubes, Rubik’s cube,
worksheets, pictures of plane figures, paper, ball pen
E. Value: Cooperation
III. Learning Activities
Teacher’s Activity Pupil’s Activity
A. Preliminary Activity
Before we start, ______ kindly
lead the prayer.
Good morning Class!!
“Before you take your seat
please pick all the litters and pieces
of papers under your chair and
arrange your chair properly.”
“You may now take your seats.”
3. Checking of Attendance
“Class secretary tell the class
“Heavenly Father….. Amen.”
“Good Morning Teacher.”
Thank you Teacher.
who are absent today?”
“So how was your foundation
“Have you enjoyed your foundation
day bonding with your team
“That’s good to know. What
activities have you done during the
“Did you had fun?”
“Okay that’s good, I’m glad that
you had fun doing those activities.
B. Preparatory Activities
1. Opening Songs
2. Mental Computation Drill: Solving
For Areas of Plane Figures
“Now class before we proceed to
our lesson, were going to have a
group activity. I’ll divide you into
to four groups.”
“I will show some pictures of a
plane figure with a given
dimensions. You will choose to
your group mates who will be the
first student will solve mentally for
the area and write your answer on
“It was great teacher Cecille!”
“Of course Teacher! It was a lot of fun!”
“We played badminton, chess, volleyball and
“We enjoy playing with my group mates.”
“Yes! We had so much fun.”
the activity sheet that I give to you
with the proper label. Then I will
show another picture of a plane
figure with given dimensions again
and again until everyone in the
group or column has participated“.
“The groups who give with the
correct answers and label gets 2pts”
“Did you understand grade six?”
a. Setting the Standard in Group
“Before we start, what are the
standards or rules to follow in
conducting a group activity?”
Very good! So, you should
follow those standards!
b. Group Activity
c. Checking of Group Activity
-cooperate to your group mates.
-do not do anything not related to the activity.
-try your best to give an answer or an idea.
3. Review : Formulas in solving for
the Areas of the following: Square,
Trapezoid and Triangle
“I have here some picture of shapes
with a given dimensions, you will
tell to me what is the area of each?”
“Do you understand class?”
“What do you call this object?”
“That’s right! It is a Rubik’s cube.
A Rubik’s cube is 3 x 3 x 3 cube
that can be manipulated so that each
face of cube will have the same
“Do you know how to play it?
“How many small cubes does this
Rubik’s cube have?”
C. Development Activities
“The number of small cubes that
make up Rubik’s cube is 24”
“Now class I have here a
“What kind of solid figure is the
“Now I will put a cube. How many
did I put inside the rectangular
“It is a Rubik’s cube”
(pupils may give an estimate or give exact
( the teacher fill the container with a
small cubes until its upper portion)
“How can you find the number of
cubes in the container without
counting them all?”
“How many cubes in all?”
“When we get the total number of
cubes that the container has, what
have we looked for?”
“What kind of polygon is the base
of the container?”
“What is its dimension?
“How many cubes fit the length?
“Can you give the volume of the
rectangular prism by just using the
dimensions (length, width, height?
“What is the formula in finding the
volume of rectangular prism?
“What unit of measurement will
-By counting the number in one layer then
multiply in to other horizontal layer.
-There are 24 cubes
“We looked for its volume.”
-length, width and height
“Yes teacher, by multiplying the length, width
-Volume = length x width x height
“When you multiply the length and
the width, what does it represent?”
“So if the area of the base and the
height are given, how will you right
the formula for the volume of
“Class the area of the base can be
written as B in symbols.”
“Did you understand grade six?
“What are the two formulas in
finding the rectangular prism?
2. Fixing Skills
Let us do this in pairs.
-area of base
-V= area of base x height
1. Count the cubic units to find the volume of each.
V=_________________ V= ____________________
2. Find each missing number?
A. l = 3.5m B. l= 9 dm C. V= 375 cu m D.V= 1232 cm3
w = 3.3m w= 8.6 dm l= 31m l = 11cm
h = 4 m h= 5 dm w= ______ w= 8cm
V= ____ V= ______ h= 3m h= _____
A. Complete the table. Find the volume of the following.
Length Width Height Volume
1. 9 dm 8.6 dm 5 dm
2. 1.4 m 1.5 m 1.8 m
3. 40 cm 15 m 24 cm
4. 18.5 cm 9.4 cm 15 cm
5. 5 ¾ m 4 ½ m 7 2/3 m
B. Read and analyze and solve.
1. The volume of a cube is 343 cm3. What is the length of the edge?
2. A wooden block below has a volume of 600cm3. Bert sawed 2 pieces of wood out of
the block. Find the volume of the block that was left.
How do you solve for the volume of
rectangular prism? What is the
-by multiplying length x width x height
Draw the indicate figure and solve the problem.
1. A Sewing box is 12 cm by 9 cm by 6 cm. what is its volume?
2. How many cubic meters of soil has to be removed for the for the
foundations of a building 52 m long and 35 m wide if the hole is to
be 1.5 m deep?
3. How many jewelry boxes 10 cm by 6 cm by 4 cm can be packed
into a box 50dm long, 4 dm wide and 3 dm high?
Complete the table.
Length 15cm 8.2 dm 5 ½ m 2.3 m
Width 9 cm 4.7 dm 2 ¼ m 6 m
Height 7 cm 2.6 dm 4 ¾ m 9 m 2.6 m
Volume 756 m 3 17. 94 m3
Cecille Maye T. Sagmon