Find the surface area of each figure to the nearest tenth. Show your work. please




Let us name the figures from left to right as Figures 1, 2, 3, and 4.
Figure 1: Cylinder
The formula for surface area of cylinder is:
SA = 2 π r h
where r = 5 cm and h = 10 cm
SA = 2 π (5 cm) (10 cm)
SA = 100 π cm^2 = 314.16 cm^2
Figure 2: Triangular prism
SA = (a + b + c) h
where a, b, c are the sides of the triangle and h is the length of the prism
a = 4 m
b = c = 2.5 m
h = 6 m
SA = (4 m + 2.5 m + 2.5 m) 6 m
SA = 54 m^2
Figure 3: Rectangular prism
SA = 2lw + 2wh + 2lh
where l, w and h are the sides
l = 3.5 ft
w = 2.4 ft
h = 5.2 ft
SA = 2 (3.5*2.4 + 2.4*5.2 + 3.5*5.2)
SA = 78.16 ft^2
Figure 4: Rectangular prism
SA = 2lw + 2wh + 2lh
where l, w and h are the sides
l = 6 ft
w = 4.5 ft
h =12 ft
SA = 2 (6*4.5 + 4.5*12 + 6*12)
SA = 306 ft^2