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

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

Volume of Rectangle Prisms For education statistics and research National Center for Education Statistics.

Surface Area of a Rectangle Prism

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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

Volume of Rectangle Prisms

Surface Area of a Rectangle Prism

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Find the volume of each Rectangular Prism.

Download Rectangular Prism Worksheet

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

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