Question

Urgent!!! What is the volume of this rectangular prism? Picture provided.

A: 15/2x
B: 3x+12/2x+8
C: 15/2x+2
D: 15/8

Answer 1

V =
`(15)/(2x)`

Explanation:

Using the volume formula

V =
`(12)/(x)` ×
`(x+4)/(4)` ×
`(5)/(2x+8)` ← cancel 12 and 4 by 4 and factor 2x + 8

=
`(3)/(x)` ×
`(x+4)/(1)` ×
`(5)/(2(x+4))` ← cancel (x + 4) on numerator/denominator

=
`(3)/(x)` × 1 ×
`(5)/(2)`

=
`(15)/(2x)`