Answer:
Option D is correct
520 square units
Step-by-step explanation:
Surface area of right prism(S) is given by:
[tex]S = bh + pH[/tex]
where,
b is the base,
h is the height of the right angle triangle and
p is the perimeter of the triangle.
First find the hypotenuse(s) of the triangle.
Using Pythagoras theorem
[tex]15^2+8^2 = s^2[/tex]
⇒[tex]\sqrt{225+64}=s[/tex]
⇒[tex]\sqrt{289}=s[/tex]
⇒s= 17 units
Now, the perimeter(p) of the triangle is the sum of the sides.
[tex]p = 8+15+17 = 40[/tex]
Also, H = 10 units
Substitute the given values in [1] we have;
[tex]S = bh + pH[/tex]
⇒S = (8)(15)+(40)(10) = 120+400 = 520 square units
Therefore, the surface area of the right prism is, 520 square units
