SOLUTION: The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units. Which expression represents the volume of

Algebra ->  Surface-area -> SOLUTION: The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units. Which expression represents the volume of       Log On


   

Question 1062318: The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.
Which expression represents the volume of the prism, in cubic units?
x3 + 9
x3 + 3x2
x3 + 3x + 3
x3 + 6x2 + 9x
Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52781) About Me  (Show Source):
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A right rectangular prism has a height ,
and a rectangular base with a length and a width .
The volume is %28length%29%2A%28width%29%2A%28height%29
In this case, there is a highlight%28square%29base, with
length=width+=x , and
height=+x%2B3 ,
so the volume is
x%2Ax%2A%28x%2B3%29=x%5E2%2B%28x%2B3%29=highlight%28x%5E3%2B3x%5E2%29 .

NOTE: Even if pressed for time, you do not read every word,
and miss the word highlight%28square%29 ,
height=%28x%2B3%29 should be a factor,
and so would base length x ,
so you could eliminate options
X%5E3%2B9 and x%5E3%2B3x%2B3 ,
because they do not have x as a factor.