Answer:
(a) 1232 m²
Step-by-step explanation:
The surface area is the total of the areas of the two triangular ends and the three rectangular faces.
Each triangle area is ...
A = 1/2bh
A = 1/2(24 m)(7 m) = 84 m²
The sum of the areas of the rectangular faces is ...
A = LW . . . for each of the 3 faces
A = (19 m)(24 m) +(19 m)(7 m) +(19 m)(25 m) = (19 m)(24 +7 +25 m)
A = (19 m)(56 m) = 1064 m²
Then the total surface area is ...
A = lateral area + base area
A = 1064 m² + 2(84 m²) = 1232 m² . . . . total surface area
