Respuesta :

altavistard

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Surface area of a rectangular prism

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

Find out more information about prism here:

https://brainly.com/question/12649592?referrer=searchResults

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