So, the volume of the rectangular pyramid is 35 cubic centimetres. Substitute the given values into the formula: To calculate the volume (V), we’ll use the formula: Problem 2: Calculate the volume of a rectangular pyramid with a base length of 5 cm, a base width of 3 cm, and a height of 7 cm. So, the surface area of the rectangular pyramid is approximately 131.7 square units. Now, substitute these values into the surface area formula: To find the surface area (SA), we’ll use the formula:Ĭalculate the slant height (S) using the Pythagorean theorem: Solved Problems on Rectangular Pyramid Problem 1: Find the surface area of a rectangular pyramid with the following dimensions: P is the perimeter of the base of rectangular pyramid.w is the width of the rectangular base,.l is the length of the rectangular base,.Here is a table summarizing the essential formulas for a rectangular pyramid: A is the area of the base of Rectangular Pyramid.To calculate the volume (V), the following formula is employed: The volume of a rectangular pyramid quantifies the space enclosed by the pyramid. Calculating the volume of a rectangular pyramid helps us quantify this space. The formula for calculating the surface area (SA) is as follows:Ī rectangular pyramid is not just about its surface area it also encloses a certain volume of space within its structure. The surface area of a rectangular pyramid encompasses the total area of all its faces, including both the base and the triangular faces. Surface Area Formula for Rectangular Pyramid As there is no curved surface involved here, the surface area of the rectangular pyramid is also referred to as the total surface area of a rectangular pyramid. l is the length of rectangular base, andĪs we know, calculating the surface area of such a pyramid involves determining the total area of all its faces, including both the base and the triangular faces. ![]() The formula for slant height of the rectangular pyramid is given by In a rectangular pyramid, the slant height refers to the length of the line segment that connects the apex (the top vertex) of the pyramid to a point on the edge of the base. ![]() Vertices: A rectangular pyramid has five vertices, where three edges meet at each vertex and four edges meet at the apex. Rectangular Pyramid: Faces, Edges & Verticesįaces: A rectangular pyramid has a total of five faces:Įdges: A rectangular pyramid has eight edges. The net of a rectangular pyramid consists of the base rectangle and four triangles that represent its faces which is given in the following illustration: It is often called the “base rectangle.” Rectangular Pyramid NetĪ rectangular pyramid can be unfolded or “netted” to create a flat, two-dimensional representation that can be folded back into its three-dimensional shape. ![]() ![]() The base of a rectangular pyramid is a rectangle with two pairs of parallel sides. Let’s discuss these properties in detail. There are various properties of Rectangular Pyramid, Since these pyramids are not very stable in nature, we can’t use them to create structures in real life. On the other hand, when the apex doesn’t align with the center of the base, i.e., when viewed from the top of the pyramid, the center doesn’t appear to be in the center of the base and may possibly be outside the base. Role of Mahatma Gandhi in Freedom Struggle.
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