Calculating the Volume of a Rectangular Prism: 6 7/8 x 4 1/4 x 3 1/8
In this article, we will calculate the volume of a rectangular prism with dimensions 6 7/8 inches in length, 4 1/4 inches in width, and 3 1/8 inches in height.
Converting Mixed Numbers to Improper Fractions
Before we can calculate the volume, we need to convert the mixed numbers to improper fractions.
- 6 7/8 = 55/8
- 4 1/4 = 17/4
- 3 1/8 = 25/8
Calculating the Volume
The formula to calculate the volume of a rectangular prism is:
Volume = Length x Width x Height
In this case, the formula becomes:
Volume = (55/8) x (17/4) x (25/8)
To multiply these fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
Volume = (55 x 17 x 25) / (8 x 4 x 8)
Volume = 234375 / 256
Volume = 917.96875 cubic inches
Rounded Volume
Rounded to two decimal places, the volume of the rectangular prism is:
Volume ≈ 917.97 cubic inches
There you have it! The volume of the rectangular prism with dimensions 6 7/8 x 4 1/4 x 3 1/8 is approximately 917.97 cubic inches.
