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.(1 point)

in^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the rectangular prism, we first need to find the area of the base (B) by multiplying the length and width:

B = 10 2/5 in. * 8 1/2 in.
B = 52/5 in. * 17/2 in.
B = (52 * 17) / (5 * 2) in.
B = 884 / 10 in.
B = 88 4/10 in.
B = 88 2/5 in.

Now, we can calculate the volume using the formula V = B * h:

V = 88 2/5 in. * 6 1/4 in.
V = (88 * 4 + 2) / 5 in. * 25 / 4 in.
V = 356 + 2 / 5 * 25 / 4 in.
V = 358 / 5 * 25 / 4 in.
V = 8950 / 20 in.
V = 447 1/2 in.

Therefore, the volume of the rectangular prism is 447 1/2 in³.