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 · Non-calculator · 15 questions

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1.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
2.How many vertices does a cuboid have?
(a)12
(b)6
(c)4
(d)8
3.How many vertices does a square-based pyramid have?
(a)8
(b)6
(c)4
(d)5
4.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?
(a)Pentagon
(b)Hexagon
(c)Rectangle
(d)Triangle
5.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?
(a)Triangular prism
(b)Sphere
(c)Cone
(d)Cylinder
6.How many edges does a cube have?
(a)12
(b)6
(c)8
(d)4
7.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
8.How many faces does a cuboid have?
(a)8
(b)4
(c)6
(d)12
9.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
10.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
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?
(a)5
(b)4
(c)3
(d)2
12.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
13.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
14.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
15.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
(a)7
(b)3
(c)5
(d)27

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