Problem solving using 2-D representations of 3-D shapes

Maths

How many edges does a triangular prism have?

False- cubes have 10 edges and cuboids have 12 edges.

False- it depends on the size of the cube and cuboid.

'Cubes and cuboids have the same number of edges.' Is this statement true or false?

A triangular prism has 2 faces which are triangles and 3 faces which are rectangles whereas a triangular-based pyramid has 4 triangular faces.

A triangular prism has fewer vertices than a triangular-based pyramid.

A triangular prism is always bigger than a triangular-based pyramid.

A triangular-based pyramid is always bigger than a triangular prism.

Identify one of the differences between a triangular prism and a triangular-based pyramid.

'I have 2 flat surfaces and 1 curved surface. I also have 2 curved edges.' What am I?

'I have 8 faces and 12 vertices. I also have 18 edges.' What am I?

An apex is a flat or curved surface of the 3-D shape.

An apex is the corner where edges of the 3-D shape meet.

An apex is the vertex at the top of the shape.

1. What is the definition of the 'apex' of a 3-D shape?

A square-based pyramid has 5 faces whereas a triangular-based pyramid has 4 faces.

A square-based pyramid has 6 faces whereas a triangular-based pyramid has 5 faces.

A square-based pyramid has an apex whereas a triangular-based pyramid does not have an apex.

A square-based pyramid has one curved face whereas a triangular-based pyramid only has flat faces.

What is the difference between a square-based pyramid and a triangular-based pyramid?

A sphere has 1 face, no edges and no vertices.

A sphere has no faces, 1 edge, and no vertices.

A sphere has no faces, no edges and 1 vertex.

A sphere has no faces, no edges and no vertices.

Which of the following 3-D shapes has more faces than vertices?

Which of the following 3-D shapes has faces which are always the same shape?