How to calculate surface area of a square pyramid

This online calculator will calculate the various properties of a square pyramid given 2 known variables. The square pyramid is a special case of a pyramid where the base is square. It is a regular pyramid since it has a square base which is a regular polygon.

In this section, we will learn about the surface area of a square pyramid. A pyramid is a 3-D object whose all side faces are congruent triangles and whereas its base can be any polygon. One side of each of these triangles coincides with one side of the base polygon. A square pyramid is a pyramid whose base is a square. The pyramids are named according to the shape of their bases.

How to calculate surface area of a square pyramid

Are you in search of a surface area of a square pyramid calculator to estimate all types of areas of the Great pyramid?! If yes, you're in the right place. You can calculate the total surface area, base area, lateral surface area, and face area of any square pyramid using our tool. We also discuss how to find the surface area of a square pyramid using slant height and base length and how to calculate surface area using slant height and base perimeter. You can also find answers to some interesting numerical problems like the surface area of a pyramid of Giza and the amount of groundsheet required for any tent. The base of a square pyramid is a square. Hence, the base area of the square pyramid of base edge a is a 2. First of all, let's explain what the lateral area of a square pyramid is. The lateral surface area or lateral area of a square pyramid is the total area of its 4 triangular faces. We calculate the lateral area as:. The face area of a square pyramid is the area of one of its four triangular faces. We calculate the area of a triangular face, the face area FA , using the formula:. The area of a triangle is half of the product of its base length a and height l :. Therefore, the area of four triangular faces or the lateral surface area of the square pyramid is:.

What is the surface area of this rectangular pyramid in scientific notation?

What is the surface area of a square pyramid with a height of 12 in and a base side length of 10 in? The surface area of a square pyramid can be broken into the area of the square base and the areas of the four triangluar sides. The area of a square is given by:. The given height of 12 in is from the vertex to the center of the base. We need to calculate the slant height of the triangular face by using the Pythagorean Theorem:. There are four triangular sides totaling for the sides. The total surface area is thus , including all four sides and the base.

A pyramid is made by connecting a base to an apex. The base is a polygon flat with straight edges and all other faces are triangles. No curves! This tells us where the top apex of the pyramid is. When the apex is directly above the center of the base it is a Right Pyramid , otherwise it is an Oblique Pyramid. This tells us about the shape of the base. When the base is a regular polygon it is a Regular Pyramid , otherwise it is an Irregular Pyramid. It depends on the shape, there are different formulas for triangle, square, etc. See Area for formulas, or our Area Calculation Tool. But when the side faces are different such as an "irregular" pyramid we must add up the area of each triangle to find the total lateral area.

How to calculate surface area of a square pyramid

Last Updated: November 24, This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. She has taught math at the elementary, middle, high school, and college levels. This article has been viewed , times. The surface area of any pyramid can be found by adding the surface area of the base to the surface area of the lateral faces.

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This is also a right square pyramid where "right" refers to the fact that the apex lies directly above the centroid of the base. We calculate the area of a triangular face, the face area FA , using the formula:. Explore math program. The amount of groundsheet in square meters is the base area of the tent. Or maybe you're on a deadline? Help us improve. Skip to content. Math worksheets and visual curriculum. There are various types of square pyramids, such as equilateral square pyramids, right square pyramids, and oblique square pyramids, based on the length of their edges, alignment of the apex, etc. To get the total surface area, we need to add the area of the base which is a 2 to each of these formulas. The pyramids are named according to the shape of their bases. Report an Error. Maths Program. Like Article. What is the Surface Area of a Square Pyramid?

Are you in search of a surface area of a square pyramid calculator to estimate all types of areas of the Great pyramid?!

Get paid for your published articles and stand a chance to win tablet, smartwatch and exclusive GfG goodies! This article is being improved by another user right now. We calculate the area of a triangular face, the face area FA , using the formula:. To get the total surface area, we need to add the area of the base which is a 2 to each of these formulas. Therefore, our total surface area is equal to. What is the Surface Area of a Square Pyramid? Formula of Surface Area of a Square Pyramid 3. Maths Program. Do not fill in this field. Share your suggestions to enhance the article. Logarithm Change of Base Formula. After learning how to calculate the surface area of a square pyramid, you might want to check our other square pyramid calculators:. To find the surface area of a square pyramid: Determine how many faces are there on a square pyramid: there are 4 triangular faces. So, a square pyramid has only one base.