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.

Question

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.

Answer 1

First, convert all the mixed numbers to improper fractions:

Length: 10 2/5 = 52/5
Width: 8 1/2 = 17/2
Height: 6 1/4 = 25/4

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

V = (52/5) × (17/2) × (25/4)
V = (52 × 17 × 25) / (5 × 2 × 4)
V = 22100 / 40
V = 552.5

So, the volume of the rectangular prism is 552.5 cubic inches.