Unit 5 · Geometry

Hex Pyramid — What Is F + E + V?

Lesson 4 of 4

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About this lesson

A hexagonal pyramid has 7 faces (1 hexagon + 6 triangles), 12 edges (6 base + 6 lateral), and 7 vertices (6 base + 1 apex). Sum = 7 + 12 + 7 = 26. Euler check: F + V − E = 7 + 7 − 12 = 2 ✔

Chapters

0:00Introduction
0:24The Question
0:53Unpacking the base shape properties
1:19Determining faces and vertices
1:50Determining the total edges
2:16Calculating the combined sum
2:40Exam strategy — the pyramidal base rule
3:28Confirming the final option

Question

What is the sum of the number of faces, the number of edges and the number of vertices of a pyramid with a hexagonal base?

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