Find the surface area of the prism below. see attachment, 58 cm is incorrect.

Step-by-step explanation:

left rectangle =       3*4 =   12 cm^2

Center square =     3*3 =    9 cm^2

Right Rectangle =   5*3 =   15 cm^2

Upper Triangle =  1/2 4*3 = 6 cm^2

Bottom Triangle= 1/2 4*3 = 6 cm^2

Total area = 48 cm^2

There is a note that you have to understand about the top triangle. You have to make the assumption that it is a right triangle. If you do not, the triangle is unsolvable. To find the missing leg, use the Pythagorean theorem.

c = 5

b = 4

a = ?

c^2 = b^2 + a^2

5^2 = 4^2 + a^2

25 = 16 + a^2

a^2 = 9

a = 3

So it is identical to the bottom triangle.

ok thats very interesting