Calculating the Volume of a Rectangular Prism: 24 1/4 x 12 1/2 x 20
In this article, we will calculate the volume of a rectangular prism with dimensions 24 1/4 x 12 1/2 x 20.
Understanding the Dimensions
Before we start calculating the volume, let's break down the dimensions:
- Length (L): 24 1/4 inches
- Width (W): 12 1/2 inches
- Height (H): 20 inches
Converting Mixed Numbers to Improper Fractions
To make the calculation easier, we need to convert the mixed numbers to improper fractions:
- Length (L): 24 1/4 = 97/4 inches
- Width (W): 12 1/2 = 25/2 inches
Calculating the Volume
The formula to calculate the volume of a rectangular prism is:
V = L × W × H
Now, let's plug in the values:
V = (97/4) × (25/2) × 20
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Multiply the numerators: 97 × 25 × 20 = 48500
- Multiply the denominators: 4 × 2 = 8
- Divide the product of the numerators by the product of the denominators: 48500 ÷ 8 = 6062.5
Therefore, the volume of the rectangular prism is:
V ≈ 6062.5 cubic inches
Conclusion
In conclusion, the volume of the rectangular prism with dimensions 24 1/4 x 12 1/2 x 20 is approximately 6062.5 cubic inches.
