Unit 5 · Geometry

48 cm of Equal Edges — Which Shape?

Lesson 3 of 4

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About this lesson

For each 3D shape, count its edges. Then check: does 48 divide evenly by that number? If yes, the edge length is a whole number and that shape is possible. If there’s a remainder, it’s impossible.

Chapters

0:00Introduction
0:22The Question
1:09Defining the core division rule
1:39Testing candidate 1 — triangular prism
2:13Testing candidate 2 — square pyramid
2:42Testing candidate 3 — triangular pyramid
3:16Exam strategy — the factor pool checklist
3:50Confirming the final option

Question

Prem has a 3D object.

The edges are all the same length. Each edge is a whole number of centimetres long.

The total length of the edges is 48 cm.

Which of the following is/are possibilities for Prem's object?

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