what is the formula to finding volume of a shape

The formula to find the volume of a shape depends on the type of shape you're dealing with. Here are some common formulas for different 3D shapes:

1. **Cube**:
   \[
   \text{Volume} = s^3
   \]
   where \( s \) is the length of a side.

2. **Rectangular Prism (or Cuboid)**:
   \[
   \text{Volume} = l \times w \times h
   \]
   where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

3. **Cylinder**:
   \[
   \text{Volume} = \pi r^2 h
   \]
   where \( r \) is the radius of the base, and \( h \) is the height.

4. **Sphere**:
   \[
   \text{Volume} = \frac{4}{3} \pi r^3
   \]
   where \( r \) is the radius of the sphere.

5. **Cone**:
   \[
   \text{Volume} = \frac{1}{3} \pi r^2 h
   \]
   where \( r \) is the radius of the base, and \( h \) is the height.

6. **Pyramid**:
   \[
   \text{Volume} = \frac{1}{3} \times \text{Base Area} \times h
   \]
   where \( h \) is the height of the pyramid, and the Base Area depends on the shape of the base (e.g., square, rectangle, triangle).

Would you like to explore any specific shapes in more detail or have any questions?

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Here are 5 related questions you might find helpful:
1. What is the formula to find the surface area of a cylinder?
2. How do you calculate the volume of a trapezoidal prism?
3. What is the difference between volume and capacity?
4. How do you find the volume of an irregularly shaped object?
5. What is the formula for the volume of a hemisphere?

**Tip:** When working with volumes, always ensure that all measurements are in the same units before calculating.

Discover how to calculate the volume of various 3D shapes such as cubes, rectangular prisms, cylinders, spheres, cones, and pyramids with detailed formulas and examples. Suitable for students and professionals needing to compute volumes efficiently.

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