3D shapes

Shapes & nets

Name: ______________________________Date: ______________Score: ______ / 20

1.
What is a compound 3D shape?
1. AA shape made by joining two or more simple 3D shapes together
2. BA shape that has been cut exactly in half
3. CA flat shape drawn on isometric paper
4. DAny shape that has been coloured in
2.
In Worked example 1, the compound shape can be split into which simpler shapes?
1. AA cube and a cuboid
2. BTwo pyramids
3. CA cylinder and a cone
4. DThree triangular prisms
3.
A compound shape can sometimes be split into simple shapes in more than one way.
True False
4.
How many faces does a cube have?
5.
How many faces does a cuboid have?
6.
How many faces does a triangular prism have?
7.
What are the faces of a triangular prism?
1. A2 triangles and 3 rectangles
2. B3 triangles and 2 rectangles
3. C4 triangles and 1 square
4. D6 squares
8.
How many faces does a square-based pyramid have?
9.
What are the faces of a square-based pyramid?
1. A4 triangles and 1 square
2. B2 triangles and 3 rectangles
3. C6 squares
4. D5 rectangles
10.
How many squares are in the net of a closed cube?
11.
How many squares are in the net of an open cube (a box with no lid)?
12.
A cube and a cuboid both have 6 faces.
True False
13.
Which net folds up to make a cube?
1. AA net made of 6 squares
2. BA net made of 5 squares
3. CA net made of 4 rectangles
4. DA net made of 2 triangles and 3 rectangles
14.
There is only one possible net for a cube.
True False
15.
A pentagonal prism has 2 pentagon faces and one rectangle for each side of the pentagon. How many faces does it have in total?
16.
A hexagonal prism has 2 hexagon faces and one rectangle for each side of the hexagon. How many faces does it have in total?
17.
An octagonal prism has 2 octagon faces and one rectangle for each side of the octagon. How many faces does it have in total?
18.
The surface area of a 3D shape is...
1. Athe total area of all its faces
2. Bthe length of its longest edge
3. Cthe number of faces it has
4. Dthe amount of space inside it
19.
To find the surface area of a shape you add up the areas of all its faces.
True False
20.
Each square face of a cube has an area of 4 cm². What is the surface area of the cube?
cm²

Answer key

3D shapes — Shapes & nets

1.A. A shape made by joining two or more simple 3D shapes together
2.A. A cube and a cuboid
3.True
4.6
5.6
6.5
7.A. 2 triangles and 3 rectangles
8.5
9.A. 4 triangles and 1 square
10.6
11.5
12.True
13.A. A net made of 6 squares
14.False
15.7
16.8
17.10
18.A. the total area of all its faces
19.True
20.24 cm²