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 solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
- 2.How many vertices does a square-based pyramid have?
- 3.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 4.How many faces does a cuboid have?
- 5.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 6.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 7.How many vertices does a cuboid have?
- 8.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?
- 9.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 10.A solid has 6 faces: one pentagon and five triangles that all meet at a single point above the pentagon. What is the name of this solid?
- 11.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?
- 12.In this question, a curved surface counts as a face. How many faces does a cone have?
- 13.How many edges does a cube have?
- 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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