Rectangular Prisms

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

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\(^2\)

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

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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