Apply the formula V=B×h . What is the volume of a rectangular prism with a length of 1 3/4 in., a width of 4 1/8 in., and a height of 3 2/3 in.? Your answer should be a mixed number in simplest form.(1 point)

in.3

1 answer

To find the volume of a rectangular prism, we use the formula V = B x h, where B is the area of the base and h is the height.

First, let's find the area of the base (B):
B = length x width
B = (1 3/4) x (4 1/8)
B = (7/4) x (33/8)
B = 231/32

Now, let's find the volume using the formula V = B x h:
V = (231/32) x (3 2/3)
V = (231/32) x (11/3)
V = 2541/96
V = 26 45/96
V = 26 15/32

Therefore, the volume of the rectangular prism is 26 15/32 in.3, in simplest form.