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

Related Topics

• How Calculate the Area of Trapezoids
• How to Solve Pythagorean Theorem Problems
• How to Solve Triangles Problems
• How to Find Volume and Surface Area of Cubes
• How to Find the Perimeter of Polygons

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

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 \(=l×w×h\) , \((l=6 , w=4 , h=8)\)
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 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

Find the volume of each Rectangular Prism.

Download Rectangular Prism Worksheet

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