Using the formula V=B×h , what is the volume of a rectangular prism with a length of 10 2/5 in., a width of 8 1/2 in., and a height of 6 1/4 in.? Your answer should be a mixed number in simplest form.(1 point)
[_] in.3
To find the volume of the rectangular prism, we plug in the given values into the formula V = B × h, where B is the area of the base and h is the height.
First, calculate the area of the base (B):
Length × Width = 10 2/5 in. × 8 1/2 in.
= (10 + 2/5) in. × (8 + 1/2) in.
= 52/5 in. × 17/2 in.
= (52 × 17)/(5 × 2) in.
= 884/10 in.
= 88 4/10 in.
= 88 2/5 in.
Now, find the volume by multiplying the area of the base by the height:
V = B × h
= 88 2/5 in. × 6 1/4 in.
= (88 + 2/5) in. × (6 + 1/4) in.
= 442/5 in. × 25/4 in.
= (442 × 25)/(5 × 4) in.
= 11050/20 in.
= 552 1/2 in.
= 552.5 in.3
Therefore, the volume of the rectangular prism is 552.5 in.3.