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.
Properties of 3D shapes worksheet — GCSE Foundation
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- 1.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?
- 2.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 3.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 4.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 5.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?
- 6.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?
- 7.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 8.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?
- 9.How many vertices does a cuboid have?
- 10.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?
- 11.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 12.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 13.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?
- 14.How many edges does a triangular prism have?
- 15.How many vertices does a square-based pyramid have?
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