Zach is building a new shed shaped like a square prism. He wants the height of the shed to be 2 feet less than the length and width. If he needs the volume to be as close as possible to 3174 ft 3 , what should the length be

Step-by-step explanation:

Let be the length and width of the base of the prism and,

be the height of the prism.

Now height of the prism is 2 feet less than the length and width.

So

Volume of the the square prism is

Now we graph both the functions.

The point at which they intersect each other is

So, the length of the prism is .

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: