Volume

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.

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.

Related terms

Surface Area: The total area that covers the surface of a three-dimensional object.

Radius: The distance from the center to any point on the circumference of a circle or sphere.

Height: The perpendicular distance from the base to the topmost point of an object.