Question

What is the volume of the rectangular prism shown?

Answer 1

D.
`18 (3)/(64)`

Explanation:

We use the formula for volume.

`v=l*w*h`

The length is
`3(1)/(2)` or
`(7)/(2)`.

The width is
`1(7)/(8)` or
`(15)/(8)`.

The height is
`2(3)/(4)` or
`(11)/(4)`.

We then substitute the numbers in the formula.

`v=3(1)/(2)*1(7)/(8) *2(3)/(4)\\\\v=(7)/(2) *(15)/(8) *(11)/(4)`

Multiply
`(7)/(2)` and
`(15)/(8)` .

`v=(105)/(16) *(11)/(4)`

Then, you multiply
`(105)/(16)` and
`(11)/(4)` .

`v= (1155)/(64)`

The mixed fraction for
`(1155)/(64)` is
`18 (3)/(64)` .