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
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- 1.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 2.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?
- 3.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?
- 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 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.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 7.How many vertices does a cuboid have?
- 8.How many edges does a triangular prism have?
- 9.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 10.How many edges does a cube have?
- 11.How many vertices does a cylinder have?
- 12.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?
- 13.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 14.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?
- 15.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?
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