A Box with an Open Top and a Square Base

question 128

Multiple Choice

A box with an open top and a square base is to be constructed to contain 6,912 cubic inches. Find the dimensions that will require the minimum amount of material to construct the box. ​​

• A)The dimensions of the box using minimum material are 24 in. by 24 in. by 12 in.
• B)The dimensions of the box using minimum material are 21 in. by 21 in. by 17 in.
• C)The dimensions of the box using minimum material are 12 in. by 12 in. by 24 in.
• D)The dimensions of the box using minimum material are 17 in. by 17 in. by 21 in.
• E)The dimensions of the box using minimum material are 21 in. by 21 in. by 12 in.