Box 1: Dimensions: x by 3x by x3Area of base = x(3x) = 3x2Box 2: Dimensions: x by 4x – 1 by x3Area of base = x(4x – 1) = 4x2 – xComplete the statements about the number of terms in the polynomial representing the volume of each box. Box 1’s volume will be a . Box 2’s volume will be a . Explain your reasoning.

Box 1's volume is found by multiplying the area of the base (3x^2) by the height (x^3), which results in 3x^5. Since this expression has only one term, it is a monomial. Box 2's volume is found by multiplying its base area (4x^2 - x) by the height (x^3), using the distributive property: x^3(4x^2) - x^3(x) = 4x^5 - x^4. Since this expression has two terms, it is a binomial.