With only one small drawer in his bathroom, Winston has decided to design and build a cabinet, in the shape of a rectangular prism, for the bathroom so that he can have more storage space. The area of the cabinet's base can be represented by the function A(x) = 11x2 + 44x, where x is the width of the small drawer. The height of the the cabinet can be represented by the function H(x) = 4x + 7.

Which function best describes V(x), the volume of the cabinet?

A.) V(x) = 44x3 + 308x

B.) V(x) = 15x2 + 51x

C.) V(x) = 44x3 + 253x2 + 308x

D.) V(x) = 11x2 + 48x + 7

Question

With only one small drawer in his bathroom, Winston has decided to design and build a cabinet, in the shape of a rectangular prism, for the bathroom so that he can have more storage space. The area of the cabinet's base can be represented by the function A(x) = 11x2 + 44x, where x is the width of the small drawer. The height of the the cabinet can be represented by the function H(x) = 4x + 7. 

Which function best describes V(x), the volume of the cabinet?

A.) V(x) = 44x3 + 308x

B.) V(x) = 15x2 + 51x

C.) V(x) = 44x3 + 253x2 + 308x

D.) V(x) = 11x2 + 48x + 7