Using the formula of V= B x H what is the volume of a rectangle prism with a width of 3 1/4 inch a length of 5 1/8 inch in a height of 7 3/8 inch. Your answer should be a mixed number in the simplest form.
To find the volume of a rectangle prism, we use the formula V = B x H, where B is the area of the base and H is the height of the prism.
First, we need to find the area of the base (B) by multiplying the length and width:
Length = 5 1/8 inches = 41/8 inches
Width = 3 1/4 inches = 13/4 inches
B = (41/8) x (13/4)
B = 533/32 square inches
Now, we can find the volume by multiplying the base area by the height:
H = 7 3/8 inches = 59/8 inches
V = (533/32) x (59/8)
V = 31347/256 cubic inches
To simplify this mixed number, we divide 31347 by 256:
31347 ÷ 256 = 122 with a remainder of 91
So, the volume of the rectangular prism is 122 91/256 cubic inches.