Respuesta :
Answer:
I'm pretty sure the answer is 310
Step-by-step explanation:
Im on the test
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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