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.
First, convert the mixed numbers to improper fractions:
Width: 3 1/4 = 13/4
Length: 5 1/8 = 41/8
Height: 7 3/8 = 59/8
Now, plug these values into the formula V = B x h:
V = (13/4) x (41/8) x (59/8)
V = (533/32) x (59/8)
V = 31347/256
Now, simplify the fraction:
31347 ÷ 256 = 122 R 139
So, 31347/256 = 122 139/256
Therefore, the volume of the rectangular prism is 122 139/256 cubic inches.