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.? (as a mixed number)
To find the volume of the rectangular prism, we need to multiply the length, width, and height together:
V = B × h
V = (11 1/5) in. × (9 1/2) in. × (8 1/2) in.
First, convert the mixed numbers to improper fractions:
(11 1/5) = (55/5 + 1/5) = 56/5
(9 1/2) = (9×2 + 1/2) = 19/2
(8 1/2) = (8×2 + 1/2) = 17/2
Now, plug the improper fractions into the formula:
V = (56/5) in. × (19/2) in. × (17/2) in.
V = (56×19×17) / (5×2×2) in.^3
V = (19024) / 20 in.^3
V = 951.8 in.^3
Therefore, the volume of the rectangular prism is 951.8 cubic inches.