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 cylindrical tin has a curved surface, a flat circular base and a flat circular lid. A label is stuck around the curved surface only. How many of the tin's faces are NOT covered by the label?
- 2.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 3.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?
- 4.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?
- 5.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 6.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 7.How many vertices does a cylinder have?
- 8.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 9.How many edges does a triangular prism have?
- 10.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?
- 11.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 12.A solid has two parallel, congruent polygon faces joined by flat rectangles, and its cross-section is the same shape all the way along its length. Which solid is it?
- 13.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 14.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?
- 15.How many vertices does a square-based pyramid have?
Build your own mix at the worksheet builder.