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AQA GCSE · Question 06.2 · Geometry and Measures
How many edges does the square-based pyramid have?
How many edges does the square-based pyramid have?
How to approach this question
An edge is a line segment where two faces meet.
1. Count the edges on the square base.
2. Count the edges that go from the base to the top point (apex).
3. Add these two counts together.
Full Answer
8
A square-based pyramid has a square for its base and four triangular faces that meet at a point (the apex).
To find the number of edges:
1. The square base has 4 edges.
2. There are 4 triangular faces, and each has an edge connecting a corner of the base to the apex. This gives another 4 edges.
3. Total edges = 4 (on the base) + 4 (slanting edges) = 8.
So, a square-based pyramid has 8 edges.
Common mistakes
✗ Confusing edges with faces or vertices.
✗ Only counting the edges of the base (4).
✗ Miscounting the lines in the diagram.
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