Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3/1/4 in., a length of 5/1/8 in., and a height of 7/3/8 in.? 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 find the area of the base:
Area = length × width
Area = (5/1/8) in. × (3/1/4) in.
Area = (41/8) in. × (13/4) in.
Area = 533/32 in.
Now we can find the volume:
V = (533/32) in. × (7/3/8) in.
V = (533/32) in. × (59/8) in.
V = 31447/256 in.
V = 123 39/256 in.
Therefore, the volume of the rectangular prism is 123 39/256 cubic inches.