Iam redesigning a rectangular prism in geometry where i have to minimize the surface area while maintaining the same volume. i have to recreate three of these. now my original prism has a surface area of 122.5in^2 and a volume of 58.75in^3. i want to make my first redesign, a shpere. how would i do that. for my second one, a square pyramid, and the third one a cylinder. how would i recreate these with the same volume, but smaller surface area? the length is 5 inches, the height is 4.7 inches, and the width is 2.5 inches

Think about a really long, flat 3-dimensional object. This has a certain volume, and a certain (big) surface area because of its length. Now, make the 3-dimensional object fat and maintain the volume. Notice how you have minimized surface area but maintained volume. This is how I would go about solving it.

it has the same slope and a different y-intercept

hope this : )

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).