Calculator Guide: Calculating the Volume of a Rectangular Prism
In this article, we will guide you through the process of calculating the volume of a rectangular prism with dimensions 21 1/4 x 15 1/2 x 15 1/2.
What is a Rectangular Prism?
A rectangular prism is a three-dimensional shape with six rectangular faces. It has a length, width, and height, and all its angles are right angles.
The Formula for Calculating Volume
The formula for calculating the volume of a rectangular prism is:
V = l × w × h
Where:
- V is the volume of the rectangular prism
- l is the length of the rectangular prism
- w is the width of the rectangular prism
- h is the height of the rectangular prism
Converting Mixed Numbers to Improper Fractions
Before we can calculate the volume, we need to convert the mixed numbers to improper fractions.
- 21 1/4 = 21 + (1/4) = 85/4
- 15 1/2 = 15 + (1/2) = 31/2
Calculating the Volume
Now that we have converted the mixed numbers to improper fractions, we can plug them into the formula:
V = l × w × h V = (85/4) × (31/2) × (31/2)
V = (85 × 31 × 31) / (4 × 2 × 2) V = (85 × 961) / 16 V = 82,185 / 16 V = 5,136.56 cubic units
Conclusion
The volume of the rectangular prism with dimensions 21 1/4 x 15 1/2 x 15 1/2 is approximately 5,136.56 cubic units.
We hope this article has helped you understand how to calculate the volume of a rectangular prism with mixed number dimensions.
