﻿ Formula Volume of Rectangular Prism. Explained with pictures and examples.

# 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 above. 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 .

### Practice Problems on Volume of a Rectangular Prism

##### Practice 1

Use the formula for the volume of a cylinder as shown below.

$V = 2 \cdot 5 \cdot 3 \\ V = 30$

##### Practice 2

$$volume = l \cdot w \cdot h \\ 30 = 5 \cdot 2 \cdot w \\ 30 = 10 \cdot w \\ width = \frac{30}{10} = 3\text{"}$$

##### Practice 3
Yes, it is possible because:

$$5^3 = 125 \\ volume = length \cdot width \cdot height \\ 125 = 5 \cdot 5 \cdot 5$$

##### Practice 4
Prism A

$$\\ volume = length \cdot width \cdot height \\ V = 2 \cdot 3 \cdot 6 = \color{red}{36 \text{ in}^3 }$$

Prism B

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