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

in fractiion

Answer 2

Using 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
B = (52/5) in × (17/2) in
B = (884/10) in
B = 88.4 in

Now, calculate the volume:
V = B × h = (88.4 in) × (6 1/4) in
V = (88.4 in) × (25/4) in
V = (2210/2) in
V = 1105 in

Therefore, the volume of the rectangular prism is 1105 in^3.

Answer 3

To express the volume as a mixed number in simplest form, we can divide the numerator by the denominator:

1105 ÷ 1 = 1105

Therefore, the volume of the rectangular prism is 1105 in^3, which is already in the simplest form.