5.A: Volume

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Page ID: 31462

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Overview

The purpose of this lesson is to learn how to find the volume of various solids.

This lesson will address the following CCRS Standard(s) for Geometry:

7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms
G.GMD.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems
G.MG.2: Apply concepts of density based on area and volume in modeling situations (e.g. persons per square mile, BTUs per cubic foot)

Directions

Take notes while watching videos below
Go to http://wamap.org and log into our course to complete assignment 5.A with 80% or better.

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Volume [8:33]

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Complete assignment 5.A with 80% or better at http://wamap.org

Summary

In this lesson we have learned:

If B is the area of the base, then the volume of the prism or cylinder is $V = B h$
If B is the area of the base, then the volume of the pyramid or cone is $V = \frac{1}{3} B h$
The volume of a sphere is $V = \frac{4}{3} π$ </mi> <msup> <mi>r</mi> <mn>3</mn> </msup> </math>' data-equation-content="V=\frac{4}{3}\pi r^3">