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? Your answer should be a mixed number in simplest form.(1 point)
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 need to calculate the area of the base:
B = length × width
B = 7 1/4 m × 10 1/2 m
B = (29/4) m × (21/2) m
B = (609/8) m²
B = 76 1/8 m²
Now, we can calculate the volume:
V = B × h
V = (76 1/8) m² × 12 2/5 m
V = (609/8) m² × (62/5) m
V = (37818/40) m³
V = 945 9/10 m³
V = 945.9 m³
Therefore, the volume of the rectangular prism is 945 9/10 cubic meters.