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 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
2.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
3.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
4.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
5.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?
(a)Triangular prism
(b)Tetrahedron
(c)Cuboid
(d)Square-based pyramid
6.A student draws a net using 5 identical squares arranged in a row of four with one extra square attached to the side of one of them. Can this net be folded to make a closed cube?
(a)Yes, it folds into a cube
(b)No, it needs one more square
(c)No, it has one square too many
(d)Yes, but only if two squares overlap
7.How many edges does a cube have?
(a)12
(b)6
(c)8
(d)4
8.How many vertices does a cylinder have?
(a)2
(b)4
(c)1
(d)0
9.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
10.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
(a)14
(b)10
(c)16
(d)12
11.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
12.How many faces does a cuboid have?
(a)8
(b)4
(c)6
(d)12
13.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
14.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
(a)Triangular-based pyramid (tetrahedron)
(b)Square-based pyramid
(c)Cube
(d)Triangular prism
15.How many edges does a triangular prism have?
(a)9
(b)5
(c)6
(d)12

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