The surface area of a prism is modeled by the equation, s=ph+2b, where s=surface area, p=perimeter of the base, h=height of the prism, and b=area of the base. a. solve the equation, s=ph+2b, for the perimeter of the base, p. b. a rectangular prism has a height of 4 meters, a surface area of 96 square meters, and a base area of 8 square meters. calculate the perimeter of the base of the prism. in your final answers, include all of your calculations.

A).

B). Perimeter = 20 meters

Step-by-step explanation:

Surface area of a prism is modeled by the equation S = Ph + 2B

A). Now we have to solve this equation for the perimeter P of the base.

Ph + 2B = S

Ph = S -2B

P =

B). A rectangular prism has the height of 4 meters, a surface area of 96 square meters and a base area of 8 square meters.

We have to find the perimeter P of the prism.

P =

  =

  =

  = 20 meters

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

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