Question

Question 15 First drop down answer choices A. Prism A B. prism B Second drop down answer choices A. 1.83B. 0.88C. 0.55D. 1.13

Answer 1

The dimensions of prism A is 5 inches by 5 inches by 6 inches

And dimensions of prism B is 2 inches by 4 inches by 6 inches.

By checking the dimensions we can predict that the prism with the least surface area to volume ratio is prism A.

The correct option is A.

The volume of prism A is determined as

`\begin{gathered} V=5*5*6=150in^3 \\ \end{gathered}`

The surface area of prism A is

`S=2(5*5+5*6+6*5)=2(25+30+30)`

`S=2*85=170in^2`

The actual ratio of surface area to volume for this prism after calculating is

`(170in^2)/(150in^3)=(17in^2)/(15in^3)=1.13`

The correct option is D.