Q:

A 1/8 illustration board has a length of 15 inches and a width of 10 inches. You are going to construct the largest box out of a 1/8 illustration board by cutting out equal squares with side from each of its corners as shown below. On the base of the box that you created, write your answers to the following: A. Express the volume of the box as a function of . Call it . B. Give all the possible integral values of . C. Evaluate: ; ; ; ; ; and . D. Give the volume of the largest box obtained from an integral value of .

A 1/8 illustration board has a length of 15 inches and a width of 10 inches. You are going to construct the largest box out of a 1/8 illustration board by cutting out equal squares with side from each of its corners as shown below. On the base of the box that you created, write your answers to the following: A. Express the volume of the box as a function of . Call it . B. Give all the possible integral values of . C. Evaluate: ; ; ; ; ; and . D. Give the volume of the largest box obtained from an integral value of .

Accepted Solution

A:
A 1/8 illustration board has a length of 15 inches and a width of 10 inches. You are going to construct the largest box out of a 1/8 illustration board by cutting out equal squares with side from each of its corners as shown below. On the base of the box that you created, write your answers to the following: A. Express the volume of the box as a function of . Call it . B. Give all the possible integral values of . C. Evaluate: ; ; ; ; ; and . D. Give the volume of the largest box obtained from an integral value of . 65047e568dead.webp