Printable · GCSE Foundation · ages 14-16
Properties of 3D shapes worksheet — GCSE Foundation
Fifteen questions on "properties of 3d shapes" — DfE statement G12. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Properties of 3D shapes worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 2.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 3.How many edges does a triangular prism have?
- 4.A square-based pyramid is cut by a flat plane parallel to its base, partway up between the base and the apex. What shape is the cross-section?
- 5.A cylindrical drum and a cuboid box are being wrapped for a display. A shop assistant wraps only the flat faces of each item, not any curved surface. How many flat faces in total does the assistant wrap across both items?
- 6.How many vertices does a cuboid have?
- 7.In this question, a curved surface counts as a face. How many faces does a cone have?
- 8.A cuboid has three different edge lengths: a length, a width and a height, all different from each other. How many rectangles make up its net in total?
- 9.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 10.A tent is shaped like a triangular prism: two triangular end faces and three rectangular faces. One of the rectangular faces lies flat on the ground as the groundsheet. How many of the tent's faces are above the ground, not touching the ground?
- 11.A solid has 5 faces: one square face and four triangular faces, which all meet at a single point above the square. What is the name of this solid?
- 12.How many faces does a cuboid have?
- 13.A packaging designer is told a box has 6 faces, 12 edges and 8 vertices, and every face is a rectangle. To fit exactly onto a shelf, the designer needs to know whether the box must be a cube. Based only on this information, which solid must the box be?
- 14.How many vertices does a square-based pyramid have?
- 15.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
Build your own mix at the worksheet builder.