Finding the Volume of a Figure

Definition: Volume is the total amount of space inside a three dimensional shape. Volume is measured in cubic units, such as “cubic inches” or in³.

Each three dimensional figure has its own unique volume formula. For example, to find the volume of a rectangular prism, we can multiply the length, the width and the height of the prism together. Example: Find the volume of figure: Solution:

Use the volume formula for rectangular prisms to find the volume of the figure.

Step 1: For this figure, we’ll use the formula Length x Width x Height = Volume. We can determine these values from the figure:
length = 9 in
width = 5 in
height = 3 in

Step 2: Plug the values into the formula and solve.
Length x Width x Height = Volume
9 x 5 x 3 = Volume
135 = volume

Because volume is always measured in cubic units, we will label this answer as:
V = 135 cubic inches or 135in³.

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