Question

What is the volume of the rectangular prism with a length of 8 1/2centimeters, width of 9 1/3 centimeters and a height of 12 2/5 centimeters?

Answer 1

The volume is 90 if you add

Answer 2

`V = 983.73\ cm^3` or
`V = 983\ ^(11/15)\ cm^3`

Explanation:

By definition the volume of a rectangular prism is the product of its length (l) by its width (w) by its height (h). This is:

`V = lwh`

In this case we know that

l =
`8\ ^(1/2)` centimeters

l =
`8 + (1)/(2)=8.5` centimeters

w=
`9\ ^(1/3)` centimeters

w =
`9 + (1)/(3)=9.333` centimeters

h=
`12\ ^(2/5)` centimeters

h =
`12 + (2)/(5)=12.4` centimeters

Then

`V = (8.5)(9.333)(12.4)\ cm^3`

`V = 983.73\ cm^3`

`V = 983\ ^(11/15)\ cm^3`