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