12.75 3D Shapes

Question 1

LEVEL 1

Find the number of faces, edges and vertices of the square based pyramid below.

 

Select the correct answer from the list below:

A: $5$ faces, $8$ edges and $5$ vertices

B: $4$ faces, $8$ edges and $5$ vertices

C: $5$ faces, $8$ edges and $4$ vertices

D: $4$ faces, $7$ edges and $5$ vertices

 

CORRECT ANSWER: A: $5$ faces, $8$ edges and $5$ vertices

WORKED SOLUTION:

There are $4$ triangular faces and $1$ square face, so $5$ in total.

There are $4$ edges on the bottom and $4$ diagonal edges, so $8$ in total.

There are $4$ vertices on the bottom, and $1$ at the top, so $5$ in total.

 

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Question 2

LEVEL 1

Find the number of faces, edges and vertices of the sphere below.

Select the correct answer from the list below:

A: $1$ face, $0$ edges and $0$ vertices

B: $1$ faces, $1$ edge and $0$ vertices

C: $1$ faces, $1$ edge and $1$ vertex

D: $2$ faces, $1$ edge and $0$ vertices

 

CORRECT ANSWER: A: $1$ face, $0$ edges and $0$ vertices

WORKED SOLUTION:

A sphere is made up of a single surface, so there is $1$ face, $0$ edges and $0$ vertices

 

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Question 3

LEVEL 1

Find the number of faces, edges and vertices of the cuboid below.

Select the correct answer from the list below:

A: $6$ faces, $12$ edges and $8$ vertices

B: $8$ faces, $12$ edges and $8$ vertices

C: $6$ faces, $8$ edges and $8$ vertices

D: $6$ faces, $8$ edges and $4$ vertices

 

CORRECT ANSWER: A: $6$ faces, $12$ edges and $8$ vertices

WORKED SOLUTION:

There are $4$ long faces and $2$ small faces, so $6$ in total.

There are $4$ edges on the front, $4$ edges on the back, and $2$ edges on each side, so $12$ in total.

There are $4$ vertices on the front, and $4$ vertices on the back, so $8$ in total.

 

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Question 4

LEVEL 1

Name the following $3$D shape.

Select the correct answer from the list below:

A: Triangular Prism

B: Cylinder

C: Triangular Based Pyramid

D: Frustum

 

CORRECT ANSWER: A: Triangular Prism

WORKED SOLUTION:

This is a triangular prism.

 

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Question 5

LEVEL 1

Name the following $3$D shape.

Select the correct answer from the list below:

A:  Frustum

B: Triangular Prism

C: Triangular Based Pyramid

D: Square Based Pyramid

 

CORRECT ANSWER: A: Frustum

WORKED SOLUTION:

This is a Frustum.