The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. What is the maximum volume?

a. 324 cm^3

b. 320 cm^3

c. 288 cm^3

d. 224 cm^3

a. 324 cm^3

Step-by-step explanation:

The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. Therefore, the maximum volume is 324 cm^3.

36 : 4 = 9 cm.

9 ⋅ 9 ⋅ 4 = 324 cm^3

The maximum volume would be when the bottom of the box is a square.

The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.

Then to find volume multiply the length by the width by the height:

Volume = 9 x 9 x 4 = 324 cm^3

The answer would be a.