Answer:
LA = 120 sq cm
SA = 132 sq. cm.
Step-by-step explanation:
LA = ph where p = perimeter of the base and h = the height of prism.
Your base is a triangle. The third side = [tex]\sqrt{5^{2} - 3^{2} }[/tex] = [tex]\sqrt{25 - 9} = \sqrt{16} = 4[/tex]
Now, the perimeter of the triangle is 3 + 4 + 5 = 12
So, LA = 12(10) = 120 sq cm
The area of the base is the area of a triangle. A = bh/2 = 4(3)/2 = 6
SA = 2B + LA where B is the area of the base
SA = 2(6) + 120 = 12 + 120 = 132 sq. cm.
