Consider a square pyramid of base edge 'a', height 'h', and slant 'l'. The net of a square pyramid provides a flattened view of each face and the square base along with its dimensions.
When placed horizontally, the net of the pyramid with a square base is seen in a 2D shape and when folded the solid shape becomes a 3D shape of a square pyramid.
The net of a square pyramid has the same number of faces when it is flattened. The net of any solid shape helps in finding the surface area of that solid shape. The image below showcases the flattened view of a square pyramid with its faces and base. Example 2: Daniel is constructing a closed square pyramid-shaped aquarium in his backyard.
The base edge of the square pyramid is 10 inches and the slant height is 15 inches. Help Daniel determine the total surface area of the aquarium. Given, the slant height l of the square pyramid is 15 inches, the base edge a of the square pyramid is 10 inches. Example 3: Sophia has a vessel in the form of an inverted regular square pyramid that has to be filled with water.
The altitude of the vessel is 10 inches and the base edge is 7 inches. What is the volume of water Sophia can fill in the vessel? A square pyramid refers to a pyramid having a square base and four triangular bases connected to a vertex.
Thus, it is a polyhedron with five faces. As a square pyramid is a three-dimensional geometric shape with a square base and four triangular bases that are joined at a vertex. Thus, we can clearly conclude that it has five faces and is therefore called a pentahedron. A prism is a polyhedron that has congruent top and bottom faces. A pyramid has only one base that is connected to a single vertex through line segments from each vertex of the base.
Therefore, a square pyramid is not a prism. A square pyramid refers to a pyramid having a square base. It has a total of 5 faces, one square base, and four triangular faces.
Thus, it is called a pentahedron because it has five faces. A rectangular pyramid has a rectangular base whereas a square pyramid has a square base. All square pyramids are rectangular pyramids but all rectangular pyramids are not square pyramids.
A rectangular pyramid is the same as a square pyramid only when the length and breadth of the rectangular base are equal. The net of a square pyramid is the horizontal view of the shape where the faces are flattened or opened out. The net shows the same number of faces when it is joined at the apex. Learn Practice Download. Square Pyramid A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron.
Interestingly, pyramids are named after their base, such as Rectangular pyramid Triangular pyramid Square pyramid Pentagonal pyramid Hexagonal pyramid 1. What is a Square Pyramid? Properties of a Square Pyramid 3. Types of Square Pyramids 4. Square Pyramid Formula 5. Net of a Square Pyramid 6. Solution: Pyramids are named as per their bases. Thus, the names of the shapes are as follows. The base of the first pyramid is a triangle.
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