Formula Volume of a Rectangular Prism
How to find the Volume of a Rectangular Cylinder
This page examines the properties of a rectangular prism such as the image on the right. A rectangular prism is exactly what it sounds like it's a 3 dimensional shape with a width, height and a length (or base) such as the 3,2, and 8 this picture on the right.
Rectangular Prism Volume Formula
Practice Problems on Volume of a Rectangular Prism
What is the volume of the rectangular prism with the dimension shown below?
Problem 2) If the volume of a rectangular prism is 30 " ^{3} and its height is 5 ", its length is 2 ", what is its width?
$$
volume = length \cdot width \cdot height
\\
30 = 5 \cdot 2 \cdot width
\\
30 = 10 \cdot width
\\
width = \frac{30}{10} = 3\text{ "}
$$

Problem 3) The volume of a rectangular prism is 125 " ^{3} and its height is 5 ". Is it possible for all 3 of its dimensions (base, height, width) to be the exact same measurement? Explain
Yes, it is possible because:
$$
5^3 = 125
\\
volume = length \cdot width \cdot height
\\
125 = 5 \cdot 5 \cdot 5 \cdot 5
$$

Problem 3) Rectangular prism A has the following dimensions: 2" width, 3 " height and 6 " base (ie length). On the other hand, rectangular prism B has these dimensions: 1 " width, 3 " height and 7" base (or length).
Which prism has a greater volume?
Prism A
$$
\\
volume = length \cdot width \cdot height
\\
V = 2 \cdot 3 \cdot 6 = 18\text{ in}^3
$$

Prism B
$$
volume = length \cdot width \cdot height
\\
V = 1 \cdot 3 \cdot 7 = \color{Red}{ 21\text{ in}^3}
$$

Prism B
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