Jim would like to create a pencil holder with no top. he would like it to be 5 inches tall and 3 inches wide. he cannot decide if he would like to make it have a square base or a circular base. if the material costs $0.75 per square inch, hom much more would it cost to make a cylinder than a square prism?

Step-by-step explanation:

step 1

Find the surface area of the cylinder

The surface area of the cylinder is equal to

we have

----> the radius is half the diameter

assume

substitute

Find the cost

step 2

Find the surface area of the square prism

The surface area of the prism is equal to

we have

substitute

Find the cost

step 3

Find the difference of costs

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

if i put something wrong your not gonna like it so rather not say nothing.