To find the total surface area of the stand, we first need to calculate the surface area of each pedestal.
For pedestal 1:
- Front area = 20 inches * 15 inches = 300 square inches
- Side area = (20 inches * 15 inches) * 2 = 600 square inches
- Top area = 20 inches * 20 inches = 400 square inches
Total surface area for pedestal 1 = 300 + 600 + 400 = 1300 square inches
For pedestal 2:
- Front area = 20 inches * 11 inches = 220 square inches
- Side area = (20 inches * 11 inches) * 2 = 440 square inches
- Top area = 20 inches * 20 inches = 400 square inches
Total surface area for pedestal 2 = 220 + 440 + 400 = 1060 square inches
For pedestal 3:
- Front area = 20 inches * 7 inches = 140 square inches
- Side area = (20 inches * 7 inches) * 2 = 280 square inches
- Top area = 20 inches * 20 inches = 400 square inches
Total surface area for pedestal 3 = 140 + 280 + 400 = 820 square inches
Total surface area of the stand = 1300 + 1060 + 820 = 3180 square inches
Therefore, the total surface area of the stand is 3180 square inches.
Use the image to answer the question.
An illustration shows three adjoining rectangular prisms placed together and labeled from the left as 2, 1, and 3. The length of the rectangular prisms along the front base is 20 inches for each. The depth of each adjoining prism is 20 inches. The height of the rectangular prism on the left labeled 2 is 11 inches; the height of the rectangular prism in the center labeled 1 is 15 inches; the height of the rectangular prism on the right labeled 3 is 7 inches.
At the Olympics, the winners of the gold, silver, and bronze medals stand on a tiered pedestal.
As labeled in the diagram, the height of pedestal 3 is 7 inches, the height of pedestal 2 is 11 inches, and the height of pedestal 1 is 15 inches. Assuming each pedestal is of equal width and depth, find the total surface area of the stand.
(1 point)
in.2
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