Please Help!

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) = 12x^2 + 48x, 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) = 48x^3 + 336x

B. V(x) = 16x^2 + 55x

C. V(x) = 48x^3 + 276x^2 + 336x

D. V(x) = 12x^2 + 52x + 7

Question

Please Help!


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) = 12x^2 + 48x, 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) = 48x^3 + 336x

B. V(x) = 16x^2 + 55x

C. V(x) = 48x^3 + 276x^2 + 336x

D. V(x) = 12x^2 + 52x + 7

j2lie · Answer

the answer is d because 48x + 4x = 52x.

adamaero · Answer

height*area = volume 
...so multiply fuctions