Using the formula V=B×h , what is the volume of a rectangular prism with a length of 7 1/4 m, a width of 10 1//2 m, and a height of 12 2//5 m?

Question

Your answer should be a mixed number in simplest form.(1 point)
____m3

Answer 1

The volume of a rectangular prism can be calculated using the formula V = B x h, where B is the area of the base and h is the height.

First, we need to calculate the area of the base:
Area of the base = length x width
Area of the base = 7 1/4 m x 10 1/2 m
Area of the base = (29/4) m x (21/2) m
Area of the base = (609/8) m^2

Now, we can calculate the volume:
V = (609/8) m^2 x 12 2/5 m
V = (609/8) m^2 x (62/5) m
V = (37818/40) m^3
V = 945.45 m^3

Therefore, the volume of the rectangular prism is 945.45 m^3 in simplest form.