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:
 $h = \frac{4x ^ 8 + 3x ^ 6 }{x ^ 2}$
 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