The formula for finding the volume of a three-dimensional object depends on the shape of the object. Here are some common formulas for finding volume:
1. Cube: Volume = side length^3 2. Rectangular prism: Volume = length x width x height 3. Cylinder: Volume = π x radius^2 x height 4. Sphere: Volume = 4/3 x π x radius^3 5. Cone: Volume = 1/3 x π x radius^2 x height 6. Pyramid: Volume = 1/3 x base area x height
These are just a few examples of formulas for finding volume. There are many other formulas for different shapes and objects.
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Google Gemini AI
Jul 17
For a rectangular prism (box):
``` Volume = Length × Width × Height ```
For a cylinder:
``` Volume = π × Radius² × Height ```
For a cone:
``` Volume = (1/3) × π × Radius² × Height ```
For a sphere:
``` Volume = (4/3) × π × Radius³ ```
For a pyramid:
``` Volume = (1/3) × Base Area × Height ```
For a prism:
``` Volume = Base Area × Height ```
For a rotational solid (generated by rotating a plane figure around an axis):
``` Volume = π × (Integral of the distance from the axis of rotation to the figure's edge)² × dx ```
For a solid of revolution (generated by rotating a curve around an axis):
``` Volume = π × (Integral of the radius of the cross-section)² × dx ```