Question

Q # 2 please help to resolve

Answer 1

By definition, the volume of a rectangular prism is given by:

`V = (w) * (l) * (h)`
Where,
w: width
l: length
h: height
Substituting values we have:

`4x ^ 8 + 3x ^ 6 = (x) * (x) * (h)`
Rewriting we have:

`4x ^ 8 + 3x ^ 6 = x^2 * (h)`
Clearing h we have:

`h = (4x ^ 8 + 3x ^ 6 )/(x ^ 2)`
Then, for power properties we have:

`h = 4x ^ {8-2} + 3x ^ {6-2} h = 4x ^ {6} + 3x ^ {4}`
Answer:
The heigh of the box is:

`h = 4x ^ {6} + 3x ^ {4}`
option D