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Pyramid Height Calculator | How to Find Pyramid Height

Height

Height in geometry - a segment of a perpendicular dropped from the top of a geometric figure to its base or to the continuation of the base. By height is also meant the length of this segment.

Pyramid

Pyramid — is a polyhedron, one of whose faces (called the base) is an arbitrary polygon, and the remaining faces (called side faces) are triangles that have a common vertex. According to the number of base angles, triangular (tetrahedron), quadrangular pyramids are distinguished, etc. A pyramid is a specific case of a cone.

Pyramid height calculator

Are you struggling to find the height of a pyramid? Look no further than our Pyramid Height Calculator! This free tool can help you quickly and easily calculate the height of a pyramid.

Pyramid Height Formulas

There are different formulas to calculate the height of different types of pyramids. Here are some of the most common:

  1. Regular Pyramid: To find the height of a regular pyramid, you can use the following formula:
  2. h = \sqrt{b^2 - R^2}

    Or:

    h = \sqrt{s^2 - \left ( \dfrac{a}{2} \right )^2 }

    Where:

    • h is the height of the pyramid
    • b is the length of the edge of the pyramid
    • R is the radius of the circumscribed circle at the base of the pyramid
    • s is the slant height of the pyramid
    • a is the length of the base of the pyramid
  3. Triangular Pyramid: To find the height of a triangular pyramid, you can use the following formula:
  4. h = \dfrac{3}{2}*\dfrac{d}{b}

    Where:

    • height is the height of the pyramid
    • d is the length of one of the triangular faces of the pyramid
    • b is the length of one of the sides of the triangular base of the pyramid
  5. Square Pyramid: To find the height of a square pyramid, you can use the following formula:
  6. h = \dfrac{s\sqrt{2}}{3}

    Where:

    • h is the height of the pyramid
    • s is the length of one of the sides of the square base of the pyramid

How to Find Pyramid Height

Here's a step-by-step process to find the height of a pyramid:

  1. Measure the length of the base of the pyramid.
  2. Measure the length of the slant height of the pyramid (for a regular pyramid), or the length of the face diagonal and one of the sides of the base (for a triangular pyramid), or the length of one of the sides of the base (for a square pyramid).
  3. Use the appropriate formula to calculate the height of the pyramid.
  4. Enter the values of the required parameters into our Pyramid Height Calculator to get an instant result.

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