The volume of a pyramid

12 questions

1. A ___ is a 3D shape that has a polygonal base and triangular faces that meet at an apex.
2. Which of these shapes are polyhedrons?
3. Sam describes a 3D shape. Sam says, "My shape has an apex that is directly above the centre of its square base. All the faces other than the base are triangles." What is Sam's shape?
4. The diagram shows a pyramid and its net. Match each length marked on the net to the correct measurement on the pyramid.
5. The diagram shows a pyramid and its net. The surface area of the pyramid is ___ cm². Do not round your answer.
6. The surface area of this pyramid is ___ cm².
7. Which of these 3D shapes are pyramids?
8. A pyramid is a 3D shape that has a polygonal base and triangular faces that meet at an ___.
9. A square-based pyramid has a volume of 324 cm³ and a perpendicular height of 12 cm. The perimeter of the square base is ___ cm.
10. A hexagonal prism has the same height as a hexagonal pyramid. The hexagons on both shapes are congruent. The pyramid is filled with sand and poured into the prism. The fraction of the prism filled is:
11. The volume of a pyramid with a base of area 60 cm² and a perpendicular height of 12 cm is ___ cm²
12. The volume of this square-based right pyramid is ___ cm³.

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