How to Find the volume and surface area of Rectangular Prisms

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.

Related Topics

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.

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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