What is the surface area of the rectangular prism? 155 in² 270 in² 300 in² 310 in² rectangular prism with length labeled 4 inches, width labeled 5 inches, and height labeled 15 inches
155 in² 270 in² 300 in² 310 in²

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Answer:

I'm pretty sure the answer is 310

Step-by-step explanation:

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The surface area of rectangular prism is [tex]$310\,\text{i}{{\text{n}}^{\text{2}}}$[/tex].

What is surface area of rectangular prism?

The surface area of the rectangular prism is defined as the sum of the area of lateral faces and rectangular bases.

So, the formula of surface area of rectangular prism is,

[tex]$\text{SA = }2lh+2hw+2lw$[/tex]

Where, [tex]SA[/tex] is the surface area, [tex]l[/tex] is the length, [tex]w[/tex] is the width of the rectangle and [tex]h[/tex] is the height.

It is given that,

[tex]l = 4 in[/tex]

[tex]w = 5 in[/tex]

[tex]h = 15 in[/tex]

Put all the given values in the above formula and solve it.

So,

[tex]$\text{SA = }2lh+2hw+2lw$[/tex]

     [tex]$=2\left( 4\cdot 15 \right)+2\left( 15\cdot 5 \right)+2\left( 4\cdot 5 \right)$[/tex]

     [tex]$=120+150+40$[/tex]

[tex]$\therefore \,\,\text{SA}=310$[/tex]

Hence, the correct answer is  option [tex]d[/tex] that is [tex]$310\,\text{i}{{\text{n}}^{\text{2}}}$[/tex].

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