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.
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Properties of 3D shapes worksheet — GCSE Foundation
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- 1.A square-based pyramid has a square base and four identical triangular sloping faces, with its apex directly above the centre of the base. How many planes of symmetry does it have?
- 2.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 3.A student draws a net using 5 identical squares arranged in a row of four with one extra square attached to the side of one of them. Can this net be folded to make a closed cube?
- 4.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 5.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 6.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?
- 7.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?
- 8.How many vertices does a square-based pyramid have?
- 9.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?
- 10.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 11.How many vertices does a cylinder have?
- 12.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 13.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?
- 14.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?
- 15.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?
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