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How do you find the volume of a pyramid with a square base and perimeter?

How do you find the volume of a pyramid with a square base and perimeter?

To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base.

What is the perimeter of the base of a square pyramid?

4s
The perimeter of the base is 4s since it is a square. The area of the base is s2 . There is no formula for a surface area of a non-regular pyramid since slant height is not defined.

How find the volume of a pyramid?

What Is the Formula To Find the Volume of Pyramid? The volume of a pyramid is found using the formula V = (1/3) Bh, where ‘B’ is the base area and ‘h’ is the height of the pyramid.

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What is a pyramid with a square base?

A square pyramid can be called a pentahedron because it has five faces: four triangle faces and one square face. There is a special type of square pyramid called a Johnson solid: when all triangular sides of the square pyramid are equilateral and all the edges of the square pyramid will be equal in length.

How do you find the volume of a square pyramid?

The volume of the square pyramid determines the amount of space it occupies. It is equal to one-third of product of square of base length and height of square pyramid. Volume = 1/3 b 2 h [Cubic unit] where b is the side-length of square base of pyramid. h is the height of square pyramid.

How do you find the base area of a regular pyramid?

However, there are other useful formulas, in case you don’t know the base area. For any pyramid with a regular base, you can use the equation: volume = (n/12) * height * side_length² * cot(π/n), where n is number of sides of the base for regular polygon.

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How do you calculate the height of a pyramid?

The height, in this case, can be calculated as: height = a√3 / 6 ~ 0.2887 * a, so if you want to calculate, e.g. the volume of a regular polyhedron with the edge = 3, type 3 * 0.2887 into the pyramid volume calculator “Height” box.

How many faces does a pyramid with an n-sided base have?

A pyramid with an n-sided base has: 1 n+1 faces (n-triangles + 1 n-gon) 2 2n edges 3 n+1 vertices