Volume in GeometryA series of free High School Geometry Video Lessons from Brightstorm.
3-D Solid Properties When talking and learning about 3-dimensional solids, there are a few important terms and solid properties that we need to know. One of the first things we need to know is how to label the parts of a prism such as vertices, edges, bases and lateral faces. It is also important to be able to distinguish between an oblique and a right prism.
Volume of Prisms We can calculate the volume of any prism simply by knowing the height of the prism and the area of one of its bases. When calculating prism volume, this volume formula can be applied to both right and oblique prisms with bases of any shape, such as triangles, quadrilaterals, or other polygons. A prism volume is a measurement of the space occupied by such solid.
Volume of Cylinder The prism volume formula of height times the area of one of the bases can also be applied when calculating the volume of cylinders. To find the volume of a cylinder we simply multiply the height of the cylinder times the area of a circle of one of the bases. By simply knowing this formula, we are able to find missing heights and base measurements in cylinder volume problems.
Volume of Cone The formula for the volume of cylinders can also be applied to the volume of cones, which occupy only one third of the space of a corresponding cylinder with the same base and height. To find volume of cone dimensions and measurements, we simply use the formula for the area of a circle for one of the bases and then multiply by one third of the height of the cone. This formula is very similar to volume of cylinder and prism volume formulas.
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