![]() See the following figure:Ī prism whose cross-section is a square is called a square prism. If the cross-section has the shape of a triangle it is called a triangular prism. Observe note the bases in the figures below.Ī prism is a solid having a uniform cross-section. Pyramids that will be discussed in this section are those with a square or triangular base. The net shows the same number of faces when it is joined at the apex.A pyramid is a solid made of a base and triangular faces. The net of a square pyramid is the horizontal view of the shape where the faces are flattened or opened out. A rectangular pyramid is the same as a square pyramid only when the length and breadth of the rectangular base are equal. All square pyramids are rectangular pyramids but all rectangular pyramids are not square pyramids. Is a Rectangular Pyramid the Same as a Square Pyramid?Ī rectangular pyramid has a rectangular base whereas a square pyramid has a square base. Thus, it is called a pentahedron because it has five faces. ![]() It has a total of 5 faces, one square base, and four triangular faces. What is a Square Pyramid Called?Ī square pyramid refers to a pyramid having a square base. Therefore, a square pyramid is not a prism. A pyramid has only one base that is connected to a single vertex through line segments from each vertex of the base. Thus, we can clearly conclude that it has five faces and is therefore called a pentahedron Is a Square Pyramid a Prism?Ī prism is a polyhedron that has congruent top and bottom faces. How Many Faces Does a Square Pyramid Have?Īs a square pyramid is a three-dimensional geometric shape with a square base and four triangular bases that are joined at a vertex. Here, a is the length of the base and h is the perpendicular height. The volume of a square pyramid can be determined using the formula: V =. The surface area of the square pyramid can also be calculated as, surface area = a 2 + 2al, where l is the slant height and a is the base edge of the square pyramid. The formula to calculate the surface area of a square pyramid is, surface area = a 2 + 2a√, where h is the height h and a is the base edge of the square pyramid. What is the Formula for Surface Area of a Square Pyramid? Thus, it is a polyhedron with five faces. Surface area = (5) 2 + 2 x 5 √įAQs on Square Pyramid What is a Square Pyramid in Geometry?Ī square pyramid refers to a pyramid having a square base and four triangular bases connected to a vertex. Then, the surface area of the square pyramid is: The formula to calculate the curved surface area or lateral surface area of a square pyramid is given as: 2a√ or 2alĮxample: Assume that the height h and the length of the base edge a are 9 units and 5 units, respectively.The formula to calculate the surface area of a square pyramid when its slant height l and base edge a are given: Surface Area = a 2 + 2al. ![]() The formula to calculate the surface area of a square pyramid when its height h and base edge a are given: Surface Area = a 2 + 2a√.Consider a square pyramid of base edge 'a', height 'h', and slant 'l'. When we talk about its surface area, we generally refer to its total surface area (which is the sum of areas of all faces), whereas the lateral surface area is the sum of the areas of the side faces only. There are two types of surface areas, one is TSA (Total Surface Area), and the other is LSA (Lateral Surface Area). Volume = 1/3 x 5 2 x 9 = 1/3 x 25 x 9 = 75 cubic units Surface Area of a Square Pyramid Then, the volume of the square pyramid is: Here, a is the length of the base and h is the perpendicular height.Įxample: Assume that the height (h) and the length of the base edge (a) are 9 units and 5 units, respectively. The formula to determine the volume of a square pyramid is: V =. Then, the base area of the square pyramid is: BA = 7 × 7 = 49 square units Volume of a Square Pyramid Since the square pyramid has a square base, we can calculate its base area using the same formula as the area of square, which is side × side or base edge 2.Įxample: Assume that the base edge of a square pyramid is given as 7 units. Here you can see the formulas of the volume, total surface area (TSA), and lateral surface area (LSA) of the square pyramid. ![]() There are formulas for square pyramids for finding the volume, height, base area, and surface area.
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