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 x h, where B represents the area of the base and h is the height.
First, we calculate the area of the base:
B = width x length
B = 3 1/4 in. x 5 1/8 in.
Convert the mixed numbers to improper fractions:
B = 13/4 in. x 41/8 in.
B = 533/32 in.
Now, calculate the volume:
V = B x h
V = 533/32 in. x 7 3/8 in.
Convert the mixed number height to an improper fraction:
V = 533/32 in. x 59/8 in.
V = 31247/256 in.
The volume of the rectangular prism is 31247/256 in³.