Calculating the Volume of a Rectangular Prism
In this article, we will calculate the volume of a rectangular prism with dimensions 6 1/2 x 4 x 3 1/2.
Step 1: Convert Mixed Numbers to Improper Fractions
To start, we need to convert the mixed numbers in the dimensions to improper fractions. The mixed numbers are:
- 6 1/2 = 13/2
- 3 1/2 = 7/2
So, the dimensions become:
- Length (L) = 13/2
- Width (W) = 4
- Height (H) = 7/2
Step 2: Calculate the Volume
The formula to calculate the volume of a rectangular prism is:
V = LWH
Where V is the volume, L is the length, W is the width, and H is the height.
plugin the values into the formula:
V = (13/2) × 4 × (7/2)
Step 3: Simplify the Expression
To simplify the expression, we can multiply the numerators (13, 4, and 7) and multiply the denominators (2, 1, and 2):
V = (13 × 4 × 7) / (2 × 1 × 2) V = 364 / 4 V = 91
The volume of the rectangular prism is 91 cubic units.
That's it! By following these simple steps, we were able to calculate the volume of a rectangular prism with dimensions 6 1/2 x 4 x 3 1/2.
