Representing and constructing 3D shapes

Task goals

• Name a 3D solid (rectangular prism, triangular prism, or square-based pyramid) from a description of its faces, or state the number of faces, edges, or vertices it has.
• Identify which of a rectangular prism, triangular prism, or square-based pyramid matches a given number of faces or vertices.
• Draw a valid net for a rectangular prism, triangular prism, or square-based pyramid, including one labelled with given dimensions, and identify which faces in the net must be congruent.
• Explain what a net shows about a 3D shape, and identify or explain what is wrong with an incorrect attempted net.
• Identify a solid uniquely from its numbers of faces, edges, and vertices, including explaining why it cannot be a different named solid.
• Describe the plan view, front view, and side view of a rectangular prism or a square-based pyramid.
• Compare two 3D solids, giving one similarity and differences in their faces, edges, or vertices, and explain a related property such as why opposite faces of a rectangular prism are congruent.
• Design a net for a solid described only by its number of faces and edges, name the solid, and explain how the net can be checked as correct.