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: one square face and four triangular faces, which all meet at a single point above the square. What is the name of this solid?
- 2.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?
- 3.A solid has two parallel, congruent polygon faces joined by flat rectangles, and its cross-section is the same shape all the way along its length. Which solid is it?
- 4.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 5.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 6.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 7.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?
- 8.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?
- 9.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?
- 10.How many vertices does a cylinder have?
- 11.How many edges does a cube have?
- 12.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 13.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 14.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?
- 15.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
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