Volume 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:
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Example
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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:
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Example
Given a rectangular solid with the width 2ft, length 3ft, and height 5ft. Find its volume.
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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:
Where π is constant that is approximately equals to 3.14.
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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.
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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:
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Where π is constant that is approximately equals to 3.14.
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Example
Given a sphere with the radius 3 inches. Find the volume of this sphere. Take π = 3.14.
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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:
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Where π is constant that is approximately equals to 3.14.
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Example
Given a cone with the base radius 2cm and height 3cm. Find its volume.
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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:
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Example
Given a pyramid with the width 3ft, length 4ft and height 5ft. Find its volume.
