Surface Area Of Rectangular Prism Word Problems Worksheet Pdf
Are you struggling with surface area of a rectangular prism word problems? Do you need help with practicing and understanding the formulas? Well, you have come to the right place. We have created a comprehensive worksheet with many problems that will help you learn and master the concept of surface area of a rectangular prism. You can download the PDF worksheet at the end of this article for free.
What is a Rectangular Prism?
A rectangular prism is a three-dimensional shape that has six faces which are all rectangles. It is also known as a rectangular cuboid. It can be thought of as a box or a shoebox. It has a length, width and height. The surface area of a rectangular prism is the sum of the areas of all its faces.
Surface Area of a Rectangular Prism
The formula to calculate the surface area of a rectangular prism is:
SA = 2lw + 2lh + 2wh
Where SA is the surface area, l is length, w is width, and h is height in units of length.
Let's take an example to understand the formula better. If a rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm, then the surface area can be calculated as follows:
SA = 2lw + 2lh + 2wh
SA = 2(4 x 3) + 2(4 x 5) + 2(3 x 5)
SA = 24 + 40 + 30
SA = 94 cm²
Word Problems
Word problems can be tricky when it comes to surface area of a rectangular prism. You need to read carefully and figure out which formula to use. Here are a few word problems that will help you practice:
- John is building a bookshelf that is 2 meters long, 1.5 meters wide and 2.5 meters in height. What is the total surface area of the bookshelf?
- A rectangular prism has a length of 10 cm, a width of 8 cm, and a height of 6 cm. What is the surface area of the rectangular prism?
- A rectangular prism has a surface area of 120 m² and a height of 4 m. If the length is twice the width, find the dimensions of the rectangular prism.
Use the formula for surface area of a rectangular prism and calculate the answers to these word problems. You can check your answers with the solutions provided in the worksheet.
Worksheet
To help you practice, we have created a Surface Area of Rectangular Prism Word Problems Worksheet PDF that you can download for free. It contains 20 problems with solutions that will help you master the concept of surface area of a rectangular prism. You can print it out and use it for practice or complete it on your computer. Make sure to check your answers with the solutions provided in the worksheet.
Conclusion
Understanding and mastering the concept of surface area of a rectangular prism is important in many fields such as architecture, engineering, and construction. With practice and patience, you can easily solve surface area of rectangular prism word problems. We hope our worksheet and the explanations provided in this article have helped you understand and appreciate this concept. Remember, practice makes perfect. Happy learning!
