The volume of a pyramid
I can calculate the volume of a pyramid.
The volume of a pyramid
I can calculate the volume of a pyramid.
Lesson details
Key learning points
- There are many different types of pyramid.
- The apex of the pyramid is not necessarily above the centre of the base.
- The formula for the volume of a pyramid can be derived.
Keywords
Pyramid - A pyramid is a 3D shape that has a polygonal base and triangular faces that meet at an apex.
Apex - The apex is the point (vertex) which is the greatest perpendicular distance from the base.
Right pyramid - When the apex lies directly above the centre of the base, then it is called a right pyramid.
Oblique pyramid - An oblique pyramid is when the apex is not directly above the centre of the base.
Common misconception
Pupils may use the edge length as the perpendicular height when calculating the volume.
Remind pupils that for any volume calculation, three perpendicular lengths are multiplied and in most pyramids the edge of a triangle is not perpendicular to the base. Also the edge of the triangles can be different in the pyramid.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
$$a$$ -
80 cm
$$b$$ -
58 cm
$$c$$ -
70.5 cm (3 s.f.)
not a marked length on the net -
42 cm