# Volume and Surface Area of Pyramids. 2nd Grade of Secondary School

Created 3 years ago

Duration 0:20:39
336
Volume and Surface Area of Pyramids for 2nd grade of secondary school for Singapore Curriculum. The learning material resources for media taken from New Syllabus Mathematics book (7ed), published by Shinglee.
Slide Content
1. ### Slide 1 - Mathematics

• Volume and Surface Area of Pyramids
• 2nd grade of Secondary School
• By: I Putu Eka Prana Yoga
2. ### Slide 2 - Calculate the volume and the surface area of pyramids.

• Solve problems involving the volume and the surface area of composite solids made up of pyramids.
• Learning Objectives
3. ### Slide 3 - Learning Agenda

• Classroom Discussion
• Types of Pyramids
• Volume and Surface of Pyramids
• Exercise
4. ### Slide 4 - What are Pyramids?

• The Great Pyramids
• Tetrahedral Dice
• Louvre Pyramid
• Rice Dumpling
• Can you identify some common features of these pyramids?
• What do you notice about the slanted faces of these pyramids?
• What do you notice about the bases of these pyramids?
5. ### Slide 5 - Definition of a Pyramid

• A pyramid is a solid in which one of the faces is a polygonal base and the other slanted faces are triangles joined to the edges.
6. ### Slide 6 - Types of Pyramids

• Triangular Pyramid
• ________ Pyramid
• _________ Pyramid
• Rectangular Pyramid
7. ### Slide 7 - Volume of Pyramids

• Volume of Prism = area across section x height
• = base area x height

9. ### Slide 9 - Investigation

• Volume of Pyramids
10. ### Slide 10 - Investigation

• Volume of Pyramids
11. ### Slide 11 - Volume of Pyramids

• Volume of Pyramids =
12. ### Slide 12 - Example:

• OABC is Triangular Pyramid with a base area of 25 cm2 and a height of 8 cm.
• Find the Volume of Triangular Pyramid
• O
• A
• B
• C

• O
• C
• B
• A
14. ### Slide 14 - Example:

• VPQRS is a rectangular pyramid where PQ = 30 m and QR = 20 m.
• Given that the Volume of the pyramid is 7000 m3, find its height?
• V
• 30 m
• Q
• R
• S
• P
• 20 m

• V
• R
• Q
• P
• 10 m
• 6 m
• S
• O
16. ### Slide 16 - Surface Area of Pyramids

• Total Surface area of Pyramid = Total area of all faces
• The net of square pyramid
• The square pyramid
17. ### Slide 17 - Example:

• OPQRS is a pyramid with square base of length 14 cm. Given that the slant height
• of the pyramid is 17 cm, draw its net and hence, find its total surface area.
• O
• 14 cm
• Q
• R
• P
• 17 cm
• S

• 14 cm
• Q
• R
• P
• 17 cm
• S
• 14 cm
• 14 cm
• 14 cm
• 14 cm
• 17 cm
• 17 cm
• 17 cm
• 17 cm
• R
• S
• P
• Q
• O
• O
• O
• O

• 14 cm
• 14 cm
• 14 cm
• 17 cm
• 17 cm
• 17 cm
• 17 cm
• R
• S
• P
• Q
• O
• O
• O
• O

• O
• Y
• X
• W
• A
• 63 cm
• 32 cm
• 56 cm
• 66 cm
• Z
• B
21. ### Slide 21 - Example:

• A pyramid has a square base of length 10 cm and a total surface area of 272 cm2.
• Find the volume of the pyramid.
• 10 cm
• V
• B
• C
• A
• D
• Q
• P
• Total Surface area of Pyramid =
• 4 x area of triangular face
• + area of square base
• 4 x area of triangular face
• 4 x area of triangular face
• area of triangular face
• area of triangular face
• 4 x area of triangular face

• V
• B
• C
• A
• D
• Q
• P

• V
• B
• C
• A
• D
• Q
• P
24. ### Slide 24 - 10 m

• V
• B
• C
• A
• D
• Q
• P
• The volume of Pyramid =
• base area
• height

• C
• E
• F
• O
• D
• B
• A
• 6 cm

• O
• Z
• Y
• X
• 7 m
• 4 m
• 5 m

• V
• C
• B
• A
• 16 cm
• 9 cm
• 15 cm
• D
• Q

• V
• R
• Q
• P
• 8 cm
• 15 cm
• S