Math by Ms.
Tam
Problem-solving
Level_23_15_W_3D shape
A1) Notes
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
A2) Recite the formulas
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
A3) Memorise the names of shapes.
A4) Fill in the tables.
Names of 3-D triangular quadrilateral pentagonal hexagonal n-sided prism
shapes prism prism prism prism
No. of sides of
the base
No. of faces
No. of vertices
No. of edges
Names of 3-D triangular quadrilateral pentagonal hexagonal n-sided
shapes pyramid pyramid pyramid pyramid pyramid
No. of sides of
the base
No. of faces
No. of vertices
No. of edges
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
A5) More for you to know.
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
B1. Do the followings.
1. A heptagonal prism has b vertices and c edges. 1. b = ________ , c = _______
2. How many vertices and edges does a 13-sided prism have? 2. _________________________
3. How many vertices and edges does a 12-sided pyramid have? 3. _________________________
4. What shape are the faces of a cube in? 4. _________________________
5. How many faces does an 18-sided pyramid have? 5. _________________________
6. How many faces does a cylinder have? 6. _________________________
7. What 3-D shapes are with seven faces? 7. _________________________
(write 2 possible shapes) _________________________
8. Write the name of the shape on the right? 8. _________________________
How many faces and vertices does it have? _________________________
9. Name the pyramid that has 8 edges. 9. _________________________
10. Name the prism that has 10 vertices. 10. _________________________
11. What 3-D shape is with 2 faces only? 11. _________________________
12. How many vertices does a 11-sided pyramid have? 12. _________________________
13. How many faces does a nonagonal pyramid have? 13. _________________________
14. What 3-D shapes are with 18 edges? 14. _________________________
(write 2 possible shapes) _________________________
15. How many vertices does a heptagonal prism have? 15. _________________________
16. Name the pyramid that has 16 edges. 16. _________________________
17. Name the prism that has 12 edges. 17. _________________________
18. Name the pyramid that has 10 vertices. 18. _________________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
B2. Do the followings.
1. Name the prism that has 15 edges. 1. _______________________
2. What 3-D shapes are with 6 vertices? (write 2 possible shapes) 2. _______________________
_______________________
3. Name the pyramid that has 5 vertices. 3. _______________________
4. There are 3 plastic sticks X, 5 plastic sticks Y and 6 plastic 4. Stick X: _______________
balls. (plastic stick X is longer than plastic stick Y)
How many more of each type will be needed at least to make a Stick Y: _______________
cuboid?
Plastic ball: ____________
5. There are 12 sticks and 6 plastic balls. If they are to be fully 5. _______________________
used to make a framework of a solid with the least number of
sticks and plastic balls left, what kind of solid can be made?
A. hexagonal pyramid B. pentagonal prism
C. pentagonal pyramid D. triangular prism
6. How many faces does a cone have? 6. _______________________
7. Write the name of a prism with trapezium base. 7. _______________________
How many vertices and faces does it have?
_______________________
8. Write the name of the shape on the right? 8. _______________________
How many edges and vertices does it have?
_______________________
9. Write the name of a 3-D shape that made of 4 equilateral 9. _______________________
triangles.
10. A pyramid has 20 edges. How many vertices does it have? 10. _______________________
11. Name the prism that has 27 edges. 11. _______________________
12. Name the pyramid that has 6 vertices. 12. _______________________
13. A prism has 20 faces. How many vertices does it have? 13. _______________________
14. Write the name of the shape on the right? 14. _______________________
How many edges and faces does it have?
_______________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
B3. Do the followings.
1. Name the 3-D shape that has neither edges nor vertices. 1. ____________________
2. What 3-D shapes are with 6 vertices? (write 2 possible shapes) 2. ____________________
____________________
3. Name the prism that has 7 faces. 3. ____________________
4. There are 10 plastic sticks (same length) and 4 plastic balls. 4. Plastic ball: _________
At least, how many more plastic balls and sticks are needed to Stick: ______________
make a hexagonal pyramid?
5. There are 22 sticks and 16 plastic balls. If they are to be fully 5. ____________________
used to make a framework of a solid with the least number of
sticks and plastic balls left, what kind of solid can be made?
A. hexagonal pyramid B. octagonal prism
C. pentagonal pyramid D. heptagonal pyramid
6. Name the pyramid that has 5 vertices. 6. ____________________
7. Write the name of a pyramid with pentagon base. 7. ____________________
How many vertices and edges does it have?
____________________
8. Write the name of the shape on the right? 8. ____________________
How many edges and vertices does it have? ____________________
9. What 3-D shapes are with 6 faces? (write 2 possible shapes) 9. ____________________
____________________
10. A pyramid has 13 vertices. How many faces does it have? 10. ____________________
11. Name the prism that has 24 faces. 11. ____________________
12. Name the pyramid that has 16 vertices. 12. ____________________
13. A prism has 20 vertices. How many faces does it have? 13. ____________________
14. Write the name of the shape on the right? 14. ____________________
How many edges and faces does it have? ____________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
B4. Do the followings.
1. Which 3-D solid has two flat bases and five rectangular lateral 1. ____________________
faces?
2. How many lateral faces does a hexagonal pyramid have? 2. ____________________
3. Name the pyramid that has 8 vertices. 3. ____________________
4. There are 4 short sticks, 3 long sticks and 4 plastic balls. 4. Plastic ball: _________
At least, how many more plastic balls and sticks are needed to Long Stick: _________
make a quadrilateral pyramid?
Short Stick: _________
5. There are 20 sticks and 12 plastic balls. If they are to be fully 5. ___________________
used to make a framework of a solid with the least number of
sticks and plastic balls left, what kind of solid can be made?
A. hexagonal pyramid B. hexagonal prism
C. pentagonal pyramid D. heptagonal prism
6. Name the prism that has 10 faces. 6. ____________________
7. How many vertices, edges and sides of base does a 14-sided 7. ____________________
pyramid have?
____________________
8. Write the name of the shape on the right? 8. ____________________
How many edges and vertices does it have? ____________________
9. What 3-D shapes are with 10 faces? (write 2 possible shapes) 9. ____________________
____________________
10. A pyramid has 24 edges. How many faces does it have? 10. ____________________
11. A prism has 22 vertices. How many edges does it have? 11. ____________________
12. Name the 3-D solid with 4 identical faces. 12. ____________________
13. Make a pyramid with 36 pieces of plasticine and 70 sticks. What 13. ____________________
pyramid is it?
14. Write the name of the shape on the right? 14. ____________________
How many edges and faces does it have?
____________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
B5. Do the followings.
1. A prism has 10 vertices. Write its proper name. 1. ____________________
2. How many lateral faces does a nonagonal pyramid have? 2. ____________________
3. A pyramid has x edges. How many vertices does it have? 3. ____________________
4. A prism has x edges. How many vertices does it have? 4. ____________________
5. Can a prism have rectangular faces in three different shapes? 5. ____________________
6. Name the prism that has 15 edges. 6. ____________________
7. How many vertices, edges and sides of base does a decagonal 7. ____________________
prism have?
8. Write the name of the shape on the right? 8. ____________________
How many edges and vertices does it have? ____________________
9. What 3-D shapes are with 9 faces? (write 2 possible shapes) 9. ____________________
____________________
10. A pyramid has 10 vertices. How many faces does it have? 10. ____________________
11. How many vertices does a decagonal pyramid have? 11. ____________________
12. A prism has 27 edges. What is its proper name? 12. ____________________
13. Which of the following 3-D shapes has a total of 6 faces? 13.
____________________
A. triangular prism B. rectangular pyramid
C. hexagonal pyramid D. cuboid
14. A prism has x vertices. How many faces does it have? 14. ____________________
15. A prism has 12 faces. How many vertices does it have? 15. ____________________
16. What 3-D shape looks the same in all directions? 16. ____________________
Which 3-D shape has triangular lateral faces and pentagonal
17. base? 17. ____________________
18. Write the name of the shape on the right? 18. ____________________
How many edges and faces does it have? ____________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C. Notes
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C1. Classwork: draw nets of cube and cuboid.
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C2. Do the followings.
1. Which of the following diagrams can be folded into a cube? 1. ________________________
2. (a) Write the name of the 3-D shape. 2. (a) _____________________
(b) What 2-D shapes and how many of the (b) _____________________
shapes are needed to make its net?
________________________
3. What 3-D shape is made by the net on the 3. ________________________
right?
4. What 3-D shape is made by the net on the 4. ________________________
right?
5. (a) Write the name of the 3-D shape. 5. (a) _____________________
(b) What 2-D shapes and how many of the shapes (b) _____________________
are needed to make its net?
________________________
6. (a) Write the name of the 3-D shape. 6. (a) _____________________
(b) What 2-D shapes and how many of the (b) _____________________
shapes are needed to make its net?.
7. What 3-D shape is made by the net on the 7. ________________________
left?
8. What 3-D shape is made by the net on the 8. ________________________
right?
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C3. Do the followings.
1. What 2-D shapes and how many of the shapes are needed to 1. ________________________
make the net of a pentagonal prism?
________________________
2. What 3-D shape is made by the net on the 2. ________________________
right?
3. What 2-D shapes and how many of the shapes are needed to 3. ________________________
make the net of a hexagonal prism?
________________________
4. What 3-D shape is made by the net on 4. ________________________
the left?
5. What 2-D shapes and how many of the shapes are needed to 5.
make the net of a heptagonal pyramid? ________________________
________________________
6. Which of the following nets will not form a cube? 6. ________________________
7. What 2-D shapes and how many of the shapes are needed to 7.
make the net of a cuboid? ________________________
________________________
8. What 3-D shape will be 8. ________________________
formed by the four 2-D
shapes?
9. What 2-D shapes and how many of the shapes are needed to 9. ________________________
make the net of a quadrilateral pyramid?
10. What 3-D shape is made by the net on the right? 10. ________________________
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C4. Do the followings.
1. Which shape is needed to complete this
net? 1. _________________________
2. (a) Write the name of this 3-D shape. 2. (a) ______________________
(b) What 2-D shapes and how many of the (b) ______________________
shapes are needed to make the net of a
hexagonal prism?
3. The figure on the left is the net of a 3. _________________________
cube.
Which face is parallel and opposite
to the face, “Top” when the net is
folded up?
4. Which shape should be added to A to 4. _________________________
complete the net?
5. 5. _________________________
Which of the above nets can be folded into a triangular
pyramid?
A. (2) only B. (1) and (2) only
C. (2) and (3) only D. (1), (2) and (3)
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C5. Do the followings.
1. This is the net of a cuboid. If the cuboid is formed,
which letter is opposite to 1? 1. ______________
2. Which of 2. ______________
those is not a
net of a
cube?
3. Which of the nets cannot be folded into a prism? 3. ______________
4. What kind of solid can be formed by folding the net on the 4. _______________
right?
5. The net on the right will be folded to form a prism. How 5. _______________
many edges are there in the prism?
6. If we use the net to form a cube, which face is opposite to 6. _______________
Face 2 of the cube formed?
7. Which of the following nets when folded into a cube makes the box on the 7. _______________
right?
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Math by Ms. Tam
Problem-solving
Level_23_15_W_3D shape
C6. Do the followings.
1. Which shape is needed to complete the net on the 1. ________________
right?
2. Can the net be folded into a solid? 2. ________________
If yes, name the solid.
3. Which shape is needed to complete the net on the 3. ________________
right?
4. Name the 3D shape which is made up of one square and four triangular 4. ________________
faces.
5. Name the 3D shape that can be formed with this net. 5. ________________
6. Name the 3D shape that can be formed with this net. 6. ________________
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