Volume. A rectangular box with a square base is to be formed from a square piece of metal with 30-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is $V = ( 30 - 2 x ) ^ { 2 } x$ What value of x will maximize the volume of the box?
A)15
B)3
C)5
D)7

Question

Volume. A rectangular box with a square base is to be formed from a square piece of metal with 30-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is $V = ( 30 - 2 x ) ^ { 2 } x$ What value of x will maximize the volume of the box? 
A)15 
B)3 
C)5 
D)7

Quizplus · Accepted Answer

The Answer is C

Volume a Rectangular Box with a Square Base Is to Be