### Volume Formulas

#### Introduction

This page contains the volume formulas for a:

Examples are given to show you how to use the formulas.

### Cube

#### Formula

The lesson on the volume of a cube will explain the basics needed. Here's a summary:

All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume V will be:

V = a3

### Rectangular Solid

#### Formula

The lesson on How to Find the Volume will cover the basics needed to find the volume of a rectangular solid. Here's a short summary:

A rectangular solid has the width w, length l and height h. The volume V for this solid is the multiplication of the width, height and length together. This gives:

V = wlh

#### Example

Given a rectangular solid with the width 2ft, length 3ft, and height 5ft. Find its volume.

### Cylinder

#### Formula

The lesson on the volume of a cylinder will explain the basic ideas needed to use this formula. Here's a short summary on it:

For a cylinder that has the radius r and height h, its volume will be:

V = πr2h

Where π is constant that is approximately equals to 3.14.

#### Example

Given a cylinder with the radius 3cm and height 5cm. Find its volume. using the formula for the volume of a cylinder Take π = 3.14.

### Sphere

#### Formula

The lesson of the volume of a sphere will show the basic ideas on using this formula. Here's a summary:

For a sphere with the radius r, the volume V is given as:

Where π is constant that is approximately equals to 3.14.

#### Example

Given a sphere with the radius 3 inches. Find the volume of this sphere. Take π = 3.14.

### Cone

#### Formula

The lesson on the volume of a cone will show you the basics needed to use this formula. Note that, the volume of a cone is just 1/3 of the volume of a cylinder.

Consider a cone with the base radius r and height h. The volume V for this solid is simply:

Where π is constant that is approximately equals to 3.14.

#### Example

Given a cone with the base radius 2cm and height 3cm. Find its volume.

### Pyramid

#### Formula

The lesson on the volume of a pyramid will explain the basic needed to use this formula. Note that, the volume of a pyramid is actually 1/3 of the volume of a rectangular solid.

Now, for a pyramid with the width w, length l and height h, the volume, V of the pyramid will be:

#### Example

Given a pyramid with the width 3ft, length 4ft and height 5ft. Find its volume.