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. Just like other three-dimensional shapes, a square pyramid also has two types of areas. Let us learn about the surface area of a square pyramid along with the formula and a few solved examples here.

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:. Thus, the lateral surface area LSA of the square pyramid of slant height l is.

Square Pyramid A square pyramid is a pyramid that has a square base and four triangular faces that meet at a point at the top called the apex. The pyramids are named according to the shape of their bases.

In mathematics, a pyramid is a three-dimensional geometric structure with a polygonal base and triangular faces equal to the number of sides in the base. The triangular faces or lateral surfaces of a pyramid meet at a single point known as the apex or the vertex. In a pyramid, the base is connected to all the faces of the pyramid. Pyramids are classified into different types, such as triangular pyramids, square pyramids, rectangular pyramids, pentagonal pyramids, hexagonal pyramid, etc. A square pyramid is a pyramid that has a square base and four triangular faces that meet at a point at the top called the apex. The Great Pyramid of Giza and the Hipped roofs are the best examples 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.

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.

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You can calculate the total surface area, base area, lateral surface area, and face area of any square pyramid using our tool. Calculations are based on algebraic manipulation of these standard formulas. We calculate the lateral area as:. Easy Normal Medium Hard Expert. Maths Games. Maths Puzzles. Therefore, our total surface area is equal to. Our Team. 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. After learning how to calculate the surface area of a square pyramid, you might want to check our other square pyramid calculators:. Save Article Save. Answer: height.

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!

We calculate the area of a triangular face, the face area FA , using the formula:. Varsity Tutors. This online calculator will calculate the various properties of a square pyramid given 2 known variables. Switch the units from cm to ft and cm 2 to ft 2 or the desired units for the area using the drop-down list near each variable in the square-based pyramid surface area calculator. If you're wondering what would your age be from a Korean perspective, use this Korean age calculator to find out. Top Subjects. Easy Normal Medium Hard Expert. Correct answer:. Use the percentage point calculator to determine the percentage point difference between two percentages. Multiplication Tables. Base edge a. Share your thoughts in the comments.