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Course: Applied Mathematics — Second Secondary
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The Pyramid and the Cone

Applied Mathematics — Second Secondary

The Pyramid and the Cone

Relation between the height and the slant height

Relation between the height and the slant height

In a regular pyramid

  • Draw the right-angled triangle whose sides are the height h, the distance from the centre of the base to the midpoint of one of its sides (called the apothem of the base, written m), and the slant height l. Then:
  • l² = h² + m²

In a right circular cone

  1. The right-angled triangle with sides h, r and l gives:
  2. l² = h² + r²
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