Question

I need Help ASAP PLS, WILL FAN AND MEDAL  79 POINTS IF ANSWER

The volume and surface area are often compared by companies in order to maximize how much of something can go inside of a package (volume) while keeping how much material is required to create the package (surface area) low.

a. Pick a product that might be packaged in the shape of a rectangular prism. A rectangular prism has three dimensions: length, width, and height. The surface area of a rectangular prism can be found with the formula SA = 2lw + 2wh + 2lh. The volume of a rectangular prism can be found with the formula V = lwh. Write an expression for the ratio of surface area to volume for the figure.v

b. Choose an appropriate length, width, and height for your package so that it can fit the product that you’re shipping. Using these dimensions, what is the ratio of surface area to volume

Answer 1

i went with a nerf gun package with the dimensions, 5 ft, 7 ft, 3 ft. The prism's volume would be 105 ft squared.

Answer 2

Okay, i went with a rectangle, if the rectangle base is 12 and the height is 6 then it would be 12*6 + 12*6 + 12*6= 216 now the ratio is easy , 72:72 because that's what makes up the 12*6 and because there is 3 it's 72 two times now for part b 5 x 10 so that is the height and length so now what you want to do is do what you did the second time so it would be 72:50.
Extra tips: To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.