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.
Non-calculator
Properties of 3D shapes worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A hexagonal prism lies on a table. A flat cut is made straight across it, at right angles to its length (so the cut is parallel to the two identical end faces). What shape is the cross-section?
- 2.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?
- 3.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 4.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 5.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?
- 6.A cone is cut by a flat plane parallel to its circular base, partway up between the base and the apex. What shape is the cross-section?
- 7.How many faces does a cuboid have?
- 8.How many vertices does a cylinder have?
- 9.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 10.In this question, a curved surface counts as a face. How many faces does a cone have?
- 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.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?
- 13.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 14.How many edges does a cube have?
- 15.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
Build your own mix at the worksheet builder.