using the formula V = B x 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 7 3/8 in? Your answer should be a mixed number in simplest form
First, we need to convert all the given measurements to improper fractions:
Width: 3 1/4 in = 13/4 in
Length: 5 1/8 in = 41/8 in
Height: 7 3/8 in = 59/8 in
Now, we can calculate the volume using the formula V = B x h, where B is the area of the base (width x length) and h is the height:
V = (13/4 x 41/8) x 59/8
V = (533/32) x 59/8
V = 31447/256 in^3
Now, we simplify this fraction to its simplest form:
256 goes into 31447 123 times with a remainder of 39, giving us:
V = 123 39/256 in^3
Therefore, the volume of the rectangular prism is 123 39/256 in^3.