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.How many vertices does a cylinder have?
- 3.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?
- 4.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?
- 5.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?
- 6.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 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.How many edges does a cube have?
- 9.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?
- 10.How many vertices does a cuboid have?
- 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.How many vertices does a square-based pyramid have?
- 13.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 14.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?
- 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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