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

Maths · GCSE Foundation · G12 · Properties of 3D shapes · 15 questions

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1.How many vertices does a cuboid have?
(a)12
(b)6
(c)4
(d)8
2.In this question, a curved surface counts as a face. How many faces does a sphere have?
(a)0
(b)2
(c)1
(d)3
3.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?
(a)8
(b)9
(c)3
(d)6
4.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?
(a)6
(b)5
(c)12
(d)3
5.How many edges does a cube have?
(a)12
(b)6
(c)8
(d)4
6.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
(a)20
(b)22
(c)18
(d)16
7.In this question, a curved surface counts as a face. How many faces does a cone have?
(a)2
(b)1
(c)3
(d)0
8.A cylindrical tin has a curved surface, a flat circular base and a flat circular lid. A label is stuck around the curved surface only. How many of the tin's faces are NOT covered by the label?
(a)0
(b)4
(c)2
(d)1
9.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
(a)9
(b)3
(c)1
(d)6
10.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
11.How many vertices does a square-based pyramid have?
(a)8
(b)6
(c)4
(d)5
12.A cube has all of its edges the same length. How many planes of symmetry does it have?
(a)9
(b)6
(c)12
(d)3
13.How many faces does a cuboid have?
(a)8
(b)4
(c)6
(d)12
14.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?
(a)Not enough information
(b)Cuboid — not necessarily a cube
(c)Triangular prism
(d)Cube — only a cube fits this
15.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?
(a)1
(b)8
(c)2
(d)4

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