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

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

b. astronomers