Using the formula V equals B times H what is the volume of a rectangular prism with the length of 7 1/4 m width of 10 1/2 m and a height of 12 2/5 m your answer should be a mixed number in simplest form

Answer 1

To find the volume of the rectangular prism, we use the formula V = B * H, where B is the area of the base and H is the height.

First, we find the area of the base:
Area = length * width
Area = 7 1/4 m * 10 1/2 m

Converting the mixed numbers to improper fractions:
Area = 29/4 m * 21/2 m
Area = 609/8 m²

Now, we can find the volume:
V = 609/8 m² * 12 2/5 m

Converting the mixed number to an improper fraction:
V = 609/8 m² * 62/5 m
V = 37818/40 m³

Simplifying the fraction:
V = 945.45 m³

Therefore, the volume of the rectangular prism is 945.45 cubic meters.