The figure below is a net for a rectangular prism. Side a = 75 centimeters, side b = 19 centimeters, and side c = 30 centimeters. What is the surface area of this figure? Note: Figure is not drawn to scale. A. 8,490 square centimeters B. 4,245 square centimeters C. 7,920 square centimeters

Respuesta :

Surface area of rectangular prism is [tex]Area = 8,490cm^2[/tex] . Correct option A. 8,490 square centimeters .

Step-by-step explanation:

Here we have , The figure below is a net for a rectangular prism. Side a = 75 centimeters, side b = 19 centimeters, and side c = 30 centimeters.  We need to find What is the surface area of this figure . Let's find out:

We know that Surface area of rectangular prism = [tex]2(lb+bw+wl)[/tex] . According to Question we have following parameters:

[tex]l =75cm\\b=19cm\\w=30cm\\Area= 2(lb+bw+wl) =?[/tex]

So , Surface area of rectangular prism

⇒ [tex]Area = 2(lb+bw+wl)[/tex]

⇒ [tex]Area = 2((75)19+(19)30+(30)75)[/tex]

⇒ [tex]Area = 2(1425+570+2250)[/tex]

⇒ [tex]Area = 8,490cm^2[/tex]

Therefore , Surface area of rectangular prism is [tex]Area = 8,490cm^2[/tex] . Correct option A. 8,490 square centimeters .