A product designer is designing a storage container. The storage container must be able to hold approximately the same amount as two cylindrical oatmeal canister. Each canister has a diameter of 13 centimeters (cm) and a height of 24 cm. The new storage container is a square prism. To compete with similar storage containers, the storage container must meet the following constraints: • the capacity should be at least, but no more than, 300 cm^3 greater than the volume of two oatmeal canister.
• the base can have a side length of 16 cm, 17 cm, or 18 cm.
• the height can be 20 cm, 21 cm, 22 cm, 23 cm, 24 cm, or 25 cm.
- Find all of the possible dimensions for the new storage container.

Can somebody help me to understand this problem? because I did not understand it. Please and thank you!

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

answer: i think one of the answer is $150 and $300?

step-by-step explanation: