The correct answer is 520 square units that is option D.
What is the formula for surface area of prism?
The formula used to find the surface area S of right prism is S=bh+pH.
In the formula b is the base, h is the height of the right angle triangle formed in the prism and p is the perimeter of the triangle, H is the width of the prism.
What is the unknown side of the triangle?
Let x be the hypotenuses of the right angle triangle of the prim.
Use Pythagoras theorem in the right angle triangle to find the value of x.
[tex]15^{2} +8^{2} =x^{2}[/tex]
[tex]x^{2} =289[/tex]
On solving this we will get x=17.
What will be the perimeter of the triangle?
On adding all the sides of the triangle the perimeter of the triangle is 8+15+17=40.
What will be the surface area of the prism?
By calculation and given information, we have b=8, h=15, p=40 and H=10.
Now we will substitute all the values in the formula to find the surface area.
S=(8)(15)+(40)(10)=120+400=520 Square units.
Therefore, the correct option is D.
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