Applying the formula V=B×h , what is the volume of a rectangular prism with a length of 11 1/5 in., a width of 9 1/2 in., and a height of 8 1/2 in.? (as a mixed number)
To calculate the volume of the rectangular prism, use the formula V = B x h, where B is the area of the base and h is the height.
First, calculate the area of the base by multiplying the length and width:
Area = 11 1/5 in. x 9 1/2 in.
Area = (56/5) in. x (19/2) in.
Area = (107/5) in. x in.
Area = 107/5 in. x 2/1
Area = 214/5 in. = 42 4/5 in.
Now, multiply the area of the base by the height to find the volume:
V = 42 4/5 in. x 8 1/2 in.
V = 42 4/5 in. x 17/2 in.
V = (214/5) in. x (17/2) in.
V = (3638/10) in.
V = 363 4/5 in. or 363.8 in. (rounded to one decimal place)
Therefore, the volume of the rectangular prism is 363.8 cubic inches.