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.
To find the volume of a rectangular prism, we use the formula V = B × h, where B is the area of the base and h is the height.
First, let's find the area of the base:
B = length × width
B = 5 1/8 in. × 3 1/4 in.
B = 41/8 in. × 13/4 in.
B = 41 * 13 / 8 * 4
B = 533 / 32 in.
Now, we can find the volume:
V = B × h
V = 533/32 in. × 7 3/8 in.
V = 533 * 59 / 32 * 8
V = 31447 / 256 in.
Therefore, the volume of the rectangular prism is 123 47/256 cubic inches.