Final answer:
The volume of Box 3 is represented by the polynomial 4x³, which has a degree of 3. The base area of Box 3 is 4x.
Step-by-step explanation:
The volume of Box 3 can be calculated by multiplying its length, width, and height.
The length is given as 4 and the width and height are represented by the variable 'x' and 'x²' respectively.
Therefore, the volume of Box 3 can be expressed as V = 4(x)(x²).
Simplifying this expression, we have V = 4x³, which is a polynomial with a degree of 3.
The degree of a polynomial is determined by the highest power of the variable in the expression.
In this case, the highest power is 3, so the polynomial has a degree of 3.
The base area of Box 3 can be found by multiplying its length and width.
Since the length is 4 and the width is 'x', the base area is given by A = 4(x) = 4x.
Therefore the base area of Box 3 is 4x.