5.A: Volume

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

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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 $V = \frac{4}{3} π r^{3}$