Using the formula V=B×h , what is the volume of a rectangular prism with a width of 31 /4 in., a length of 51 /8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form.(1 point)
in.3
First, convert all the measurements to improper fractions for easier calculations:
Width: 31/4 in. = 124/4 in.
Length: 51/8 in. = 408/8 in.
Height: 7 3/8 in. = 59/8 in.
Now, plug the values into the formula V = B x h:
V = (124/4) x (408/8) x (59/8)
V = 31 x 51 x 59 / 4 x 8 x 8
V = 93159 / 256
Convert the improper fraction to a mixed number:
93159 ÷ 256 = 363 with a remainder of 231
V = 363 231/256 in.3
Therefore, the volume of the rectangular prism is 363 231/256 in.3.