If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure? A. 1,400 square centimeters B. 1,004 square centimeters C. 1,208 square centimeters D. 1,592 square centimeters
To find the surface area of the figure, we need to calculate the area of each face and then add them all together.
Face 1: Rectangle with dimensions 20 cm by 13 cm
Area = 20 cm x 13 cm = 260 square cm
Face 2: Rectangle with dimensions 13 cm by 12 cm
Area = 13 cm x 12 cm = 156 square cm
Face 3: Rectangle with dimensions 20 cm by 12 cm
Area = 20 cm x 12 cm = 240 square cm
Face 4: Rectangle with dimensions 20 cm by 5 cm
Area = 20 cm x 5 cm = 100 square cm
Face 5: Rectangle with dimensions 13 cm by 5 cm
Area = 13 cm x 5 cm = 65 square cm
Face 6: Rectangle with dimensions 13 cm by 8 cm
Area = 13 cm x 8 cm = 104 square cm
Total surface area = 260 + 156 + 240 + 100 + 65 + 104 = 925 square cm
Therefore, the surface area of the figure is D. 1,592 square centimeters.