Volume in GeometryA series of free High School Geometry Video Lessons from Brightstorm.
Volume of Pyramid The formula for the volume of prisms can also be applied to the volume of pyramids, which occupy only one third of the space of a corresponding prism with the same base and height. To calculate the volume of a pyramid, we simply multiply the area of the one of the bases times one third of the height of the pyramid. This formula is very similar to volume of cylinder and volume of cone formulas.
Solving Equations with Squares and Cubes Many of the formulas for calculating volumes (prism volume, volume of cylinders, volume of cones formulas and volume of pyramids) require solving equations with square roots or cube roots. To solve these equations, we use many of the same principals that we learned when solving equations with square roots in Algebra such as isolating the unknown variable and simplifying
Volume of Sphere To find the volume of a sphere, we can calculate the volume by using a simple volume formula where we multiply 4/3 by pi by the radius cubed. The volume of sphereformula is unique because it only requires the radius to calculate the volume of any sphere. When finding the volume of spheres, it is important to note if we are given the radius or the diameter of the shape. This formula is very similar to other prism volume formulas.
Surface Area of a Sphere In general, surface area is the sum of all the shapes that cover the surface of an object. To calculate the surface area of a sphere we multiply 4 by pi by the radius of the sphere squared. Given this formula, we can find the surface area of a sphere when given the radius. Similarly, we can find the radius of a sphere is we are given the surface area. This formula is very similar to other prism volume formulas.
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