Ages 11–13🧮 Mathematics13 verified questions on this shelf
3-D shapes (age 11+)
Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections
Try three questions
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Question 1 of 3
A bakery has a cylindrical dough tray with a radius of 8 cm. The baker cuts the dough with a knife moving horizontally, parallel to the tray’s top surface. Then the baker cuts a conical frosting (height 10 cm, base radius 4 cm) with a knife moving vertically in a plane that passes through the tip of the cone and the centre of its circular base. Which pair of shapes correctly describes the cross‑sections produced by the two cuts?
Question 2 of 3
A right rectangular pyramid has a square base that is 10 cm on each side and a height of 12 cm. The pyramid is sliced by a plane that is parallel to the base and located 4 cm above the base. Which two‑dimensional figure is the cross‑section created by this slice?
Question 3 of 3
A right rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 6 cm. A plane cuts the prism parallel to its base and passes through the point that is halfway up the height. Which two‑dimensional figure describes the cross‑section created by this cut?
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