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3D Shape Investigation Mission

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3D Shape Investigation Mission

Investigate three-dimensional shapes. Use their faces, edges, vertices and surfaces to crack the clues. A face is a flat surface, an edge is where two faces meet, and a vertex is a corner where edges meet.

Mission 1: Shape evidence

Study the shape record, then use the evidence to answer Questions 1–4. Curved surfaces are counted separately from flat faces.

Shape

Faces / flat surfaces

Edges

Vertices

Shape

Faces / flat surfaces

Edges

Vertices

Shape

Faces / flat surfaces

Edges

Vertices

Shape

Faces / flat surfaces

Edges

Vertices

1.A 3D-printing club is checking a model with 6 flat faces, 12 edges and 8 vertices. Which shape in the record has those counts? Explain one feature of its faces that confirms your answer.

2.A parcel has two triangular ends and three rectangular side faces. Name the 3D shape and state how many vertices it has.

3.A mystery model has 5 faces, 8 edges and 5 vertices. Its base is a square. What is the model, and what shapes are its faces?

4.True or false? A sphere has no vertices and no straight edges, but it does have a curved surface. Give a reason for your choice.

TrueFalse

Mission 2: Build and sort

Use the shape clues to investigate how properties can help classify 3D shapes.

5.A net is a flat pattern that folds to make a 3D shape. Which set of faces could fold into a square-based pyramid?

Six equal squares
Two triangles and three rectangles
One square and four triangles
One circle and one rectangle

6.Sort the cube, triangular prism, square-based pyramid and sphere into two groups using this rule: “has at least one flat face”. Name the group that does not fit the rule and explain why.

7.Complete the pattern for a cube: faces − edges + vertices = . Then use the same calculation for a triangular prism. What do you notice?

8.Design a different 3D shape investigation clue using at least two properties (for example, number of faces, edges, vertices or face shapes). Write the clue, then name the shape it describes.

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More Maths Worksheets

Year 10

3D Shape Investigation Mission

3D Shape Investigation Mission

Mission 1: Shape evidence

Mission 2: Build and sort

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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