Basic Shapes Math Example 4

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Example 4

hard
A shape has 6 equal sides and 6 equal corners. What is it called, and what is the sum of all its interior angles?

Solution

  1. 1
    Step 1: A closed 2D figure with 6 equal sides and 6 equal angles is a regular hexagon.
  2. 2
    Step 2: Use the interior angle sum formula: (n−2)×180°(n-2) \times 180° where n=6n=6: (6−2)×180°=4×180°=720°(6-2)\times 180° = 4 \times 180° = 720°.

Answer

Regular hexagon; interior angle sum = 720°720°.
The formula (n−2)×180°(n-2)\times 180° works for any polygon. For a regular hexagon each interior angle is 720°/6=120°720°/6 = 120°. Honeycombs use this shape because it tiles the plane perfectly.

About Basic Shapes

Closed two-dimensional figures with specific properties like sides, angles, and corners that define their shape.

Learn more about Basic Shapes →

More Basic Shapes Examples

Example 1 easy

How many sides and corners does a rectangle have?

Example 2 medium

A triangle has 3 sides. A pentagon has 5 sides. How many more sides does a pentagon have than a tria

Example 3 easy

Which shape has exactly 3 sides: square, triangle, or hexagon?

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