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