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Module 11 Geometry

Learn how to calculate the volume and surface area of a cube using simple geometry formulas. Includes clear examples and step-by-step explanations—perfect for Prealgebra and early Geometry students.

Daniel Miller
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PrealgebraModule 11: GeometryFinding the Volume and Surface Area of a CubeLearning OutcomesFind the volume and surface area o f a cubeA cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube., below. Substituting, s for thelength, width and height into the formulas for volume and surface area o f a rectangular solid, we get:V =L W HV =js■s■sV =s:1S =2 L H+ 2 Z i r+2 W HS =2s■s + 2s■s 4- 2s■sS =2 s2+2s2+ 2s2S= 6s2So for a cube, the formulas for volume and surface area areV =v5andS — 6 s2Volume and Surface Area of a CubeFor any cube with sides o f lengthsVolume: V « s3Surface Area: 5 = 6s2exampleA cube is2.5inches o n each side. Find its 1. volume and 2. surface area.
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