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