In this article, you learn how to use formulas to find the volume and surface area of rectangular prisms.

## Step by step guide to solve Rectangular Prisms

- A Rectangular Prism is a solid \(3\)-dimensional object which has six rectangular faces.
**Volume of a Rectangular prism**\(=\) Length \(×\) Width \(×\) Height**Volume**\(= l×w×h \)**Surface area**\(=2(wh+lw+lh)\)

### Example 1:

Find the volume and surface area of the following rectangular prism.

**Solution:**

Find the volume and surface area of rectangular prism.

Use volume formula: **Volume** \(=l×w×h\)

Then: **Volume** \(=6×4×8=192\) m\(^3\)

Use surface area formula: **Surface area** \(=2(wh+lw+lh)\)

Then:** Surface area** \(=2((4×8)+(6×4)+(6×8))\)

\(=2(32+24+48)=2(104)=208\) m\(^2\)

### Example 2:

Find the volume and surface area of the following rectangular prism.

**Solution:**

Find the volume and surface area of rectangular prism.

Use volume formula: **Volume** \(=l×w×h\)

Then: **Volume** \(=10×5×8=400\) m\(^3\)

Use surface area formula: **Surface area** \(=2(wh+lw+lh)\)

Then:** Surface area** \(=2((5×8)+(10×5)+(10×8))\)

\(=2(40+50+80)=340\) m\(^2\)

## Exercises

### Find the volume of each Rectangular Prism.

### Download Rectangular Prism Worksheet

- \(\color{blue}{60 \ m^3}\)
- \(\color{blue}{96 \ in^3}\)
- \(\color{blue}{432 \ m^3}\)