Q:

What is a pyramid?

A:

Quick Answer

A pyramid refers to a polyhedron created by joining a polygonal base to triangular lateral faces. There are several types of pyramids, and each is named after the shape of its base. For example, a square pyramid has a square base, and a pentagonal pyramid has a base that is a pentagon.

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Full Answer

A pyramid whose base has n sides will have n+1 faces, 2n edges and n+1 vertices. A pyramid whose apex is located directly above the center of the base is referred to as a right pyramid; if the apex is located in any other position, it's an oblique pyramid. If the base of the pyramid is a regular polygon, it can be referred to as a regular pyramid; otherwise it's an Irregular pyramid.

The volume of a pyramid is given by V=1/3Bh, where B is the base area and h is the vertical height from the apex to the base. If all the side faces are the same, the surface area is given by B + 1/2 P*S, where B is the base area, P is the perimeter of the base polygon and S is the slant height of the pyramid. If the side faces are different, simply add the base area to the lateral area.

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Related Questions

  • Q:

    What is a rectangular pyramid?

    A:

    A rectangular pyramid is a pyramid that has a rectangle as the base and the rest of the faces are composed of triangles. A pyramid is named based on the shape of the base of the pyramid.

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  • Q:

    How many faces does a pentagonal pyramid have?

    A:

    A pentagonal pyramid has six different faces. A pentagonal pyramid consists of a base that is in the shape of a pentagon, with five triangular sides that meet at the apex.

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  • Q:

    How many edges does a pentagonal pyramid have?

    A:

    A pentagonal pyramid is characterized by six faces, six vertices and 10 edges. This three-dimensional polyhedron is a type of pyramid containing five triangular lateral faces and one pentagonal face, which is the base of the pyramid.

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  • Q:

    How do you find the surface area of a pyramid?

    A:

    The surface area of a right square pyramid is determined by adding the square of the length of the base to four times the quotient of the base length times the height divided by two. The formula is written as SA=b^2 + 4(bh/2) where SA is the surface area, b is the base length of the square and h is the height of the pyramid to the apex.

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