Question
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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First, calculate the area of the full rectangular platform:
Length = 16 inches
Width = 10 inches
Height (thickness) = 3 inches
Area = Length x Width = 16 x 10 = 160 square inches
Next, calculate the area of the removed rectangular portion:
For the longer portion:
Length = 12 inches
Width = 6 inches
Area = Length x Width = 12 x 6 = 72 square inches
For the shorter portion:
Length = 4 inches
Width = 4 inches
Area = Length x Width = 4 x 4 = 16 square inches
Combine the areas of the removed portions:
72 + 16 = 88 square inches
Subtract the area of the removed portion from the full platform area to get the remaining surface area:
160 - 88 = 72 square inches
Therefore, the surface area of the platform, with a thickness of 3 inches, is 72 square inches.