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.
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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.
Download Rectangular Prism Worksheet
- \(\color{blue}{60 \ m^3}\)
- \(\color{blue}{96 \ in^3}\)
- \(\color{blue}{432 \ m^3}\)
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