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A rectangular-based pyramid as the name implies has a rectangular base and its triangular faces meet at the top called its apex.

Published on May 10, 2021

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Volume of a Rectangular base pyramid and Volume of a Cone

A rectangular-base pyramid as the name implies has a rectangular base and its triangular faces meet at the top called its apex.

Photo by Jeremy Bishop

Volume of a rectangular base pyramid
Volume = 1/3×Area of the base ×height
Volume = 1/3×A×H
or
Volume = 1/3×Length ×width ×height

A cone is a distinctive three-dimensional geometric figure that has a surface and a curved surface pointed toward the top. The pointed end of the cone is called the apex, where as the flat surface is called the base.

Photo by 1lenore

The Volume of a Cone
V = 1/3 x πr^2 x h
Use 𝝅 = 3.142

Example1: Find the volume of a rectangular pyramid with length = 12 ft, width = 9 ft and height = 16 ft
Volume = 1/3 ×length ×width × height
Volume = 1/3 ×12ft ×9ft×16ft
Volume = 1/3 ×108ft×16ft
Volume = 576 ft^3

Example 2: Find the volume of a cone with radius =3cm and height = 4cm
Volume = 1/3×3.142×3cm×3cm×4cm
Volume = 1/3×28.278cm×4
Volume = 1/3×113.112
Volume = 37.704 cm^3

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