# How to Find the volume and surface area of Rectangular Prisms

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 $$=2(wh+lw+lh)$$

### 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 $$=l×w×h$$
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 $$=l×w×h$$
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 for Solving Rectangular Prisms

### 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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