An open-top box is constructed from a square piece of cardboard with sides of length 10 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 2 ft. A)70.5 ft³ B)71.5 ft³ C)72 ft³ D)74 ft³ E)76.5 ft³

Question

Quizplus · Accepted Answer

The volume of the box is given by V(x) = x(10-x)^2. 
If the height of the box is 2 ft, then x=2. 
So, V(2) = 2(10-2)^2 = 72 ft^3. 
Therefore, the answer is choice C.

An Open-Top Box Is Constructed from a Square Piece of Cardboard