Shape and space · Ages 7–8

Prisms, pyramids and the faces of solids worksheet

Part of: Solids, angles and quadrilaterals

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Shape and space · Ages 7–8

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.How many faces do 2 prisms on a 5-sided base have in all?
Answer:
2.A pyramid on a 6-sided base has faces, and a prism on a 4-sided base has faces.
Fill in each blank
Answer:
3.A pyramid on a 5-sided base has faces, and a prism on a 6-sided base has faces.
Fill in each blank
Answer:
4.How many faces do 3 prisms on a 3-sided base have in all?
Answer:
5.A pyramid on a 6-sided base has faces, and a prism on a 3-sided base has faces.
Fill in each blank
Answer:
6.How many faces does this solid have?
Answer:

7.Which of these solids is a pyramid?
- A
- B
- C
- D
Choose the right picture
Answer:
8.What is this solid called?
- A. Pyramid on a 3-sided base
- B. Prism on a 3-sided base
- C. Pyramid on a 4-sided base
- D. Prism on a 4-sided base
Choose the right answer
Answer:
9.Which solid has a curved face?
- A
- B
- C
- D
Choose the right picture
Answer:
10.A prism on a 5-sided base has rectangles for side faces, 5 of them.
True or false?
Answer:
11.A prism on a 4-sided base has rectangles for side faces, 6 of them.
True or false?
Answer:
12.A prism on a 3-sided base has rectangles for side faces, 5 of them.
True or false?
Answer:

13.Tsz-hin makes a pyramid on a 6-sided base out of card, with triangles for its sides. How many triangles does Tsz-hin cut out for the sides?
Working:
Answer:
14.Ka-yee has 4 building blocks shaped like pyramids on a 5-sided base. How many faces do they have altogether?
Working:
Answer:
15.A gift box is a prism on a 5-sided base. Chi-keung wants a sticker on every face. How many stickers is that?
Working:
Answer:
16.Chi-keung makes a pyramid on a 5-sided base out of card, with triangles for its sides. How many triangles does Chi-keung cut out for the sides?
Working:
Answer:
17.A gift box is a prism on a 3-sided base. Ka-lok wants a sticker on every face. How many stickers is that?
Working:
Answer:
18.Ming has 4 building blocks shaped like pyramids on a 5-sided base. How many faces do they have altogether?
Working:
Answer:

Show the answers and working

Prisms, pyramids and the faces of solids worksheet: Answers and working

1. 14 faces
First count the faces of one prism on a 5-sided base: how many side faces, and how many bases top and bottom?
Each has 5 side faces and 2 bases, 7 faces; 2 of them have 14.
2. 7, 6
There are as many side faces as the base has sides. A pyramid has one base; a prism has two.
Pyramid: 6 sides and 1 base, 7; prism: 4 sides and 2 bases, 6.
3. 6, 8
There are as many side faces as the base has sides. A pyramid has one base; a prism has two.
Pyramid: 5 sides and 1 base, 6; prism: 6 sides and 2 bases, 8.
4. 15 faces
First count the faces of one prism on a 3-sided base: how many side faces, and how many bases top and bottom?
Each has 3 side faces and 2 bases, 5 faces; 3 of them have 15.
5. 7, 5
There are as many side faces as the base has sides. A pyramid has one base; a prism has two.
Pyramid: 6 sides and 1 base, 7; prism: 3 sides and 2 bases, 5.
6. 7 faces
Count the base's sides to get the side faces, then see whether it has one base or two.
A 6-sided base means 6 side faces; add the base or bases: 7.

7. B
A prism has two matching bases; a pyramid has one base and a point.
A pyramid has one base, its side faces meeting at a point: the one with a point is the pyramid.
8. A. Pyramid on a 3-sided base
First see whether it has two matching bases, or one base and a point; then count the base's sides.
See whether it has one base or two, then count the base's sides (3).
9. A
A curved face is bent, so the solid can roll. Check each solid for a face that isn't flat.
Cylinders, cones and spheres have curved faces and can roll.
10. True
A prism has one side face for each side of its base. Do the two bases count as sides? Then compare with 5.
Each of the base's 5 sides has a side face: 5 of them (the two bases aren't sides).
11. False
A prism has one side face for each side of its base. Do the two bases count as sides? Then compare with 6.
Each of the base's 4 sides has a side face: 4 of them (the two bases aren't sides).
12. False
A prism has one side face for each side of its base. Do the two bases count as sides? Then compare with 5.
Each of the base's 3 sides has a side face: 3 of them (the two bases aren't sides).

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 6 triangles
A pyramid has one triangle for each side of its base. How many sides does a 6-sided base have?
Each of the base's 6 sides has a triangle on it: 6.
14. 24 faces
Count the faces of one pyramid on a 5-sided base first: the side faces plus one base. Then think about 4 of them.
Each has 5 + 1 = 6 faces, so 4 have 24.
15. 7 stickers
One sticker per face. How many side faces does a prism on a 5-sided base have, and how many bases?
5 side faces and 2 bases: 7 faces.
16. 5 triangles
A pyramid has one triangle for each side of its base. How many sides does a 5-sided base have?
Each of the base's 5 sides has a triangle on it: 5.
17. 5 stickers
One sticker per face. How many side faces does a prism on a 3-sided base have, and how many bases?
3 side faces and 2 bases: 5 faces.
18. 24 faces
Count the faces of one pyramid on a 5-sided base first: the side faces plus one base. Then think about 4 of them.
Each has 5 + 1 = 6 faces, so 4 have 24.

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