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 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?
- 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 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?
- 4.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 5.How many edges does a triangular prism have?
- 6.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 7.How many faces does a cuboid have?
- 8.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?
- 9.A hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 10.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?
- 11.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?
- 12.How many edges does a cube have?
- 13.How many vertices does a square-based pyramid have?
- 14.How many vertices does a cylinder have?
- 15.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?
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