LEARN · EXPLAIN · REVISE

How many vertices does an 10-gonal prism have?

Read the idea, work independently, then explain what changed.

TOPIC 01

Introduction to solid geometry: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Foundation#Your turn

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Identify the defining faces, cross-sections and generating elements of the solid.

Hint 2

Each base contributes n vertices.

Worked solution

Identify the defining faces, cross-sections and generating elements of the solid.
Calculate or simplify this relation.
$V=2n=2(10)=20$
Corresponding base vertices are distinct and joined by lateral edges.

The requested value is 20.

Checks and common pitfalls: Corresponding base vertices are distinct and joined by lateral edges.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment