Calculating the Volume of a Rectangular Prism: 24 x 12 x 10 1/2
Introduction
In this article, we will be calculating the volume of a rectangular prism with dimensions 24, 12, and 10 1/2. A rectangular prism is a three-dimensional solid shape with six rectangular faces. To find the volume of a rectangular prism, we need to multiply the length, width, and height of the prism.
The Formula
The formula to find the volume of a rectangular prism is:
V = lwh
Where:
- V is the volume of the prism
- l is the length of the prism
- w is the width of the prism
- h is the height of the prism
Converting Mixed Numbers to Improper Fractions
Before we can calculate the volume, we need to convert the mixed number 10 1/2 to an improper fraction.
10 1/2 = 21/2
Calculating the Volume
Now that we have the dimensions in the correct format, we can plug them into the formula:
V = lwh V = 24 x 12 x (21/2)
To multiply the numbers, we need to follow the order of operations (PEMDAS):
- Multiply 24 and 12: 24 x 12 = 288
- Multiply 288 by the numerator (21): 288 x 21 = 6048
- Divide the result by the denominator (2): 6048 ÷ 2 = 3024
Therefore, the volume of the rectangular prism with dimensions 24, 12, and 10 1/2 is:
V = 3024 cubic units
Conclusion
In this article, we calculated the volume of a rectangular prism with dimensions 24, 12, and 10 1/2 using the formula V = lwh. We converted the mixed number to an improper fraction and followed the order of operations to get the final answer. The volume of the prism is 3024 cubic units.
