What do we mean by the volume of a rectangular pyramid and how do we calculate it? Volume is nothing but the space an object occupies. So, the volume of a rectangular pyramid will be the space occupied by the rectangular pyramid. Volume of a rectangular pyramid can also be termed as the capacity of the rectangular pyramid. Show
Let's learn how to find the volume of a rectangular pyramid with the help of a few solved examples and practice questions. What Is the Volume of a Rectangular Pyramid?The volume of the rectangular pyramid is defined as the capacity of the rectangular pyramid. In geometry, a rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that are joined at a vertex. A rectangular pyramid is a polyhedron (pentahedron) with five faces. The top point of the pyramid is called the apex. The bottom rectangle is called the base. The image below shows the shape of a rectangular pyramid. The volume of a rectangular pyramid is the number of unit cubes that can fit into it. The unit of volume is "cubic units". For example, it can be expressed as m3, cm3, in3, etc. depending upon the given units. Did you know that one of the oldest pyramid structures known to man is the "Great Pyramid of Giza?" It was constructed around 2550 BC, in Egypt. They are considered among the seven wonders of the world. They are pyramids, alright, but are they rectangular pyramids as well. We can distinguish the rectangular pyramids on the basis of the lengths of their edges, position of the apex, and so on. Below are given the two main types of rectangular pyramids:
Volume of a Rectangular Pyramid FormulaThe formula to determine the volume of a rectangular pyramid is: \(\text{Volume}=\dfrac{1}{3} \times \text{Base Area} \times \text{h}\) Here 'h' is the perpendicular height and the rectangular base area = L × W.
How to Find the Volume of a Rectangular Pyramid?As we learned in the previous section, the volume of a rectangular pyramid could be found using \(\dfrac{1}{3} \times \text{Base Area} \times \text{h}\). Thus, we follow the below steps to find the volume of a rectangular pyramid.
Example: If the height of a rectangular pyramid h = 10 units and the length of the base edges are L = 9 units and W = 5 units, respectively, then, the volume of the rectangular pyramid is: Volume = (1/3) × L × W × h FAQs on Volume of a Rectangular PyramidWhat Is the Definition of the Volume of a Rectangular Pyramid?The capacity of the rectangular pyramid is defined as the volume of the rectangular pyramid which can be calculated using the formula, \(\text{Volume}=\dfrac{1}{3} \times \text{Base Area} \times \text{h}\) How Do You Find the Volume of a Right Rectangular Pyramid?The volume (V) of a rectangular pyramid can be easily found out by just knowing the base area and its height and putting the values of these dimensions in the formula, V = 1/3 × Base Area × Height What Units Are Used With the Volume of the Right Rectangular Pyramid?In the metric system of measurement, the most common units of volume are milliliters and liters. What Is the Formula for Finding the Volume of a Right Rectangular Pyramid?The volume of a rectangular pyramid is found using the formula: V = (1/3) × L × W × h, where L x W represents the base area of the rectangular pyramid and h represents its total height. How to Calculate the Volume of a Rectangular Pyramid?To calculate the volume of a rectangular pyramid, we need to follow the steps given below:
How to Find the Height When the Volume of a Rectangular Pyramid is Given?In case the volume of a rectangular pyramid is given, together with the length and width of the base, then we can find the height of the rectangular pyramid,
How to Find the Volume of a Rectangular Pyramid with Base Area and Height?The simple formula to find the volume of a rectangular pyramid is the product of the base area of pyramid and height of the pyramid,
What is the relationship between the volume of the pyramid?Volume of a Pyramid
As we already saw, the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.
What is the volume of the rectangular pyramid?The volume of a rectangular pyramid is found using the formula: V = (1/3) × L × W × h, where L x W represents the base area of the rectangular pyramid and h represents its total height.
What is the relationship of the volume between a rectangular prism and a pyramid and a cone?Once we observe this relationship, we can express it in formula: the volume of a cylinder or prism is the area of the base multiplied by the height, and the volume of a cone or pyramid is one-third the volume of the corresponding cylinder or prism.
What is the relationship between the volume of a prism and a pyramid with congruent bases and heights?The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
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