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)

Question

[_] in.3

Answer 1

First, convert all the measurements to improper fractions:

Width: 3 1/4 = 13/4
Length: 5 1/8 = 41/8
Height: 7 3/8 = 59/8

Now, plug the values into the formula V = B x h:

V = (13/4) x (41/8) x (59/8)
V = 13 x 41 x 59 / 4 x 8 x 8
V = 31717 / 256

Now we can simplify this fraction:

31717 ÷ 256 = 123 with a remainder of 225
Therefore, V ≈ 123 225/256 in.3

The volume of the rectangular prism is approximately 123 225/256 in.3 in mixed number form.

Answer 2

correct answer please

Answer 3

I apologize for the mistake in my previous response. Let's correctly calculate the volume of the rectangular prism using the given measurements:

Width: 3 1/4 = 13/4
Length: 5 1/8 = 41/8
Height: 7 3/8 = 59/8

Now, plug the values into the formula V = B x h:

V = (13/4) x (41/8) x (59/8)
V = 13 x 41 x 59 / 4 x 8 x 8
V = 35947 / 256

Now we can simplify this fraction:

35947 ÷ 256 = 140 with a remainder of 107
Therefore, the correct volume of the rectangular prism is 140 107/256 in.3 in mixed number form.