By definition, the volume of a rectangular prism is given by:
[tex]V = (w) * (l) * (h)
[/tex]
Where,
w: width
l: length
h: height
Substituting values we have:
[tex]4x ^ 8 + 3x ^ 6 = (x) * (x) * (h)
[/tex]
Rewriting we have:
[tex]4x ^ 8 + 3x ^ 6 = x^2 * (h)
[/tex]
Clearing h we have:
[tex]h = \frac{4x ^ 8 + 3x ^ 6 }{x ^ 2} [/tex]
Then, for power properties we have:
[tex]h = 4x ^ {8-2} + 3x ^ {6-2} h = 4x ^ {6} + 3x ^ {4}[/tex]
Answer:
The heigh of the box is:
[tex]h = 4x ^ {6} + 3x ^ {4}[/tex]
option D
