# How to Find the Volume and Surface Area of Rectangular Prisms? (+FREE Worksheet!)

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 of a Rectangular prism $$= l×w×h$$,
• Surface area of a Rectangular prism $$=2(wh+lw+lh)$$

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### Rectangular Prisms – Example 1:

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

Solution:

Find the volume and surface area of the 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 the 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

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### Find the volume of each Rectangular Prism.

1. $$\color{blue}{60 \ m^3}$$
2. $$\color{blue}{96 \ in^3}$$
3. $$\color{blue}{432 \ m^3}$$

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