What is the surface area of this design? show work!

The answer is 392

Step-by-step explanation:

Divide the figure into two smaller shapes.

The area of the smaller rectangle:

4x6 + 4x6 + 4x6 + 4x4 + 4x4 = 104

Area of the bigger rectangle: (we do not count the sides that overlap between the figures as we are only finding the area of the SURFACE)

10x6 + 10x6 + 10x6 + 6x6 + 6x6 + 6x6 = 288

288 + 104 = 392

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

square root

step-by-step explanation: