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 hexagonal prism has 8 faces and 12 vertices. Using F + V − E = 2, work out how many edges it has.
- 2.How many edges does a cube have?
- 3.How many vertices does a cuboid have?
- 4.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?
- 5.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?
- 6.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 7.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 8.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 9.A cone is cut by a flat plane parallel to its circular base, partway up between the base and the apex. What shape is the cross-section?
- 10.A square-based pyramid is cut by a flat plane parallel to its base, partway up between the base and the apex. What shape is the cross-section?
- 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?
- 12.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 13.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 14.How many faces does a cuboid have?
- 15.A cylindrical drum and a cuboid box are being wrapped for a display. A shop assistant wraps only the flat faces of each item, not any curved surface. How many flat faces in total does the assistant wrap across both items?
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