Module 11 Geometry
- Mathematics
- 3 pages
- Shared June 2025
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.
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Prealgebra Module 11: Geometry Finding the Volume and Surface Area of a Cube Learning Outcomes Find the volume and surface area o f a cube A cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube., below. Substituting, s for the length, width and height into the formulas for volume and surface area o f a rectangular solid, we get: V = L W H V = js ■ s ■ s V = s :1 S = 2 L H + 2 Z i r + 2 W H S = 2s ■ s + 2s ■ s 4- 2s ■ s S = 2 s 2 + 2s 2 + 2s 2 S = 6s 2 So for a cube, the formulas for volume and surface area are V = v 5 and S — 6 s 2 Volume and Surface Area of a Cube For any cube with sides o f length s Volume: V « s 3 Surface Area: 5 = 6s 2 example A cube is 2.5 inches o n each side. Find its 1. volume and 2. surface area.
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