Use the image to answer the question.
The total length is 16 inches and width is 10 inches. The length of the removed portion from the bottom right is 12 inches. The shorter portion that is removed has the remaining length of 4 inches. The remaining width after removing the rectangular portion is 6 inches. The shorter portion that is removed has the remaining width of 4 inches.
Nikolai is making an L-shaped platform for his collection of action figures.
What is the surface area of the platform if it is 3 in. thick?
(1 point)
in.2
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To find the surface area of the platform, we need to calculate the area of each section separately and then add them together.
1. The area of the large rectangular section:
Length = 16 inches
Width = 10 inches
Height = 3 inches
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Surface area = 2 * (16*10 + 16*3 + 10*3) = 2*(160 + 48 + 30) = 2*(238) = 476 square inches
2. The area of the smaller rectangular section:
Length = 4 inches
Width = 4 inches
Height = 3 inches
Surface area = 2 * (Length * Width + Length * Height + Width * Height)
Surface area = 2 * (4*4 + 4*3 + 4*3) = 2*(16 + 12 + 12) = 80 square inches
Total surface area = 476 + 80 = 556 square inches
Therefore, the surface area of the platform is 556 square inches.