Applying the formula V = B × h, what is the volume of a rectangular prism with a length of 11 1/5 in., a width of 9 1/2 in., and a height of 8 1/2 in.?
A)29 1/5 in.^3
B)904 2/5 in.^3
C)96,228 4/25 in.^3
D)106 2/5 in.^3
First, we need to convert all the mixed numbers to improper fractions:
Length = 11 1/5 = 56/5
Width = 9 1/2 = 19/2
Height = 8 1/2 = 17/2
Now, plug these values into the formula:
V = (56/5) * (19/2) * (17/2)
V = (56 * 19 * 17) / (5 * 2 * 2)
V = 18928 / 20
V = 946.4 in.^3
Therefore, the volume of the rectangular prism is closest to 946.4, which corresponds to option B) 904 2/5 in.^3.