Question

To keep heating costs down for a structure, architects want the ratio of surface area to volume as small as possible. An expression for the ratio of the surface area to volume for the square prism shown is . Find the ratio when b = 10 ft and h = 12 ft.

Answer 1

To keep heating costs down for a structure, architects want the ratio of surface area to volume as small as possible. An expression for the ratio of the surface area to volume for the square prism shown is
ratio = surface area / volume of square prism = 6s² / s³ = 6/s

Answer 2

Ratio=
`(17)/(20)`

Explanation:

Surface Area of Square Prism =
`2b^2+4bh`

Volume of square prism =
`b^2h`

Ratio =
`(2b^2+4bh)/(b^2h)`

Put the values of b = 10 , h = 12

Ratio =
`(2(10)^2+4*10*12)/((10)^2*12)`

Ratio = [text]\frac{200+480}{1200}[/text]

Ratio=
`(680)/(1200)`

Ratio =
`(17)/(20)`