Primary School · Mathematics

3-D shapes (Faces, names of different prisms and pyramids): Practice Questions

5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on 3-D shapes (Faces, names of different prisms and pyramids).

9 questions20 marksFree, no account

Question 1

1 mark

What is the total number of faces of a heptagonal pyramid (a pyramid with a 7-sided base)?

Question 2

1 mark

A specific 3-D shape is a octagonal pyramid. How many faces does it have in total?

Question 3

1 mark

A 3-D shape is a prism. It has a total of \(18\) vertices. What is the total number of faces this prism has?

Question 4

1 mark

A prism has two hexagonal bases. What is the correct name of this 3-D shape?

Question 5

1 mark

A certain 3-D shape is a pentagonal prism. What is the total number of its faces and vertices?

Question 6

2 marks

A 3-D shape is a heptagonal pyramid. How many vertices does it have in total?

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Question 7

4 marks

A specific prism has a total of \(21\) edges. How many faces does this prism have in total?

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Question 8

2 marks

A 3-D shape has 2 identical octagonal bases and several rectangular lateral faces. What is the name of this 3-D shape?

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Question 9

7 marks

Consider the properties of 3-D shapes and the specific relationships between the number of sides of their bases and their other features.

a) A certain prism has a base with n sides. Write down the expressions for the number of faces, vertices, and edges it has in terms of n.

b) If a specific prism has exactly 18 edges, determine the name of this prism and calculate the total number of faces it has.

c) A pyramid has the same number of vertices as the prism described in part (b). How many edges does this pyramid have?

Write your answer out first, then check it against the worked solution.

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