Answer:
168 in², 94.25 yd²
Step-by-step explanation:
I couldn't find a formula for the SA of a triangular prism so I just found the area of each surface.
The formula for SA of a cylinder is 
All work for triangular prism is in the image
The formula for the surface area of a prism is
A = 2 (wh + wl + lh)
where A is the surface area
w is the width
l is the length
h is the height
w = 8 x 2 = 16
l = 6 x 2 = 12
h = 4 x 2 = 8
substitute to the given formula
A = 2 ( (16 x 12) + ( 16 x 8 ) + ( 12 x 8) )
A = 832 sq cm is the surface area of the new rectangular prism
Answer:
42 yd²
Step-by-step explanation:
Area of a rectangle = width x length
lateral surface area is the area of the sides only
So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).
area of floor and ceiling = 2(3.5 x 6) = 42 yd²
Or, we can calculate the total surface area and lateral surface area, then find the difference:
total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²
lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²
difference = 121.8 - 79.8 = 42 yd²