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Volume

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Algebra and Trigonometry

Definition

Volume is the measure of the amount of space an object occupies, expressed in cubic units. It is a fundamental concept in three-dimensional geometry.

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5 Must Know Facts For Your Next Test

  1. The volume of a rectangular prism is calculated using the formula $V = l \times w \times h$, where $l$ is length, $w$ is width, and $h$ is height.
  2. For a cylinder, the volume formula is $V = \pi r^2 h$, with $r$ being the radius of the base and $h$ the height.
  3. A sphere's volume can be found using $V = \frac{4}{3} \pi r^3$, where $r$ is the radius.
  4. In algebraic applications, solving for volume often involves setting up and solving equations or inequalities based on given dimensions.
  5. Volume measurements are crucial in real-world applications like determining capacities of containers or understanding geometric models.

Review Questions

  • What formula would you use to find the volume of a cylinder?
  • How do you calculate the volume of a rectangular prism?
  • Explain how solving for volume can involve algebraic equations.

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