Respuesta :

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