## Related Topics

- How Calculate the Area of Trapezoids
- How to Solve Pythagorean Theorem Problems
- How to Solve Triangles Problems
- How to Find Volume and Surface Area of Cubes
- How to Find the Perimeter of Polygons

## 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****of a Rectangular prism**\(= l×w×h \),**Surface area****of a Rectangular prism**\(=2(wh+lw+lh)\)

### Rectangular Prisms – 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** \(=l×w×h\) , \((l=6 , w=4 , h=8)\)

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

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

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

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

### Rectangular Prisms – 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** \(=l×w×h\) , \((l=10, w=5, h=8)\)

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

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

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

\(=2(40+50+80)=2(170)=340\) \(m^2\)

## Exercises for Solving Rectangular Prisms

### Find the volume of each Rectangular Prism.

### Download Rectangular Prism Worksheet

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

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