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Find the total surface area of the rectangular prism in the figure. A) 174 cm^ 2 B) 522c * m ^ 2; 348c * m ^ 2 D) 432c * m ^ 2

Find the total surface area of the rectangular prism in the figure A 174 cm 2 B 522c m 2 348c m 2 D 432c m 2 class=

Respuesta :

Surface area: 348 m^2

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textbf{Better understanding of the lesson}[/tex]

[tex]\text{Formula for finding the area of rectangular prism: \boxed{\mathsf{2(wl + hl + hw) = a}}}\\\text{Whereas, \bf l = \underline{length}, w = \underline{width}, h = \underline{height.}, and a = \underline{area}}[/tex]

[tex]\huge\textbf{Now, let's solve for the given equation}[/tex]

[tex]\mathsf{a = 2\times(8\times6 + 9\times6 + 9\times8)}[/tex]

[tex]\mathsf{a = 2\times(48 + 54 + 72)}[/tex]

[tex]\mathsf{a = 2(48) + 2(54) + 2(72)}[/tex]

[tex]\mathsf{a = 96 + 108 + 144}[/tex]

[tex]\mathsf{a = 204 + 144}[/tex]

[tex]\mathsf{a = 348}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{348\ cm^2}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]