Question

To keep heating cost down for a structure architects want the ratio of surface area to volume as small as possible in expression for the ratio of the surface area to volume for the square prism shown is 2b+4h/bh find the ratio 1B equals 12 feet and each equals 18 feet

Answer 1

Given:

Ratio of surface area to volume for the square prism = (2b+4h)/bh

Required: Ratio when b = 12 ft and h = 18 ft

Step-by-step explanation:

To find the ratio when b = 12 ft and h = 18 ft, substitute 12 for b and 18 for h into the given ratio,

`\begin{gathered} \text{ Ratio=}(2\cdot12+4\cdot18)/(12\cdot18) \\ =(96)/(216) \\ =(4)/(9) \end{gathered}`

Final Answer: Required ratio = 4/9