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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
explain
To find the surface area of the L-shaped platform, we first need to calculate the surface area of both rectangular portions.
1. The longer portion:
Length = 4 inches (after removing the 12-inch portion)
Width = 10 inches
Height = 3 inches
To find the surface area of this portion, we calculate the area of the two ends (4 * 3 * 2), and the area of the two longer sides (10 * 3 * 2), then add them together: 2(4 * 3) + 2(10 * 3) = 24 + 60 = 84 sq. inches.
2. The shorter portion:
Length = 4 inches
Width = 6 inches (10 - 4 inches)
Height = 3 inches
We calculate the area of the two ends (4 * 3 * 2) and the area of the two sides (6 * 3 * 2), then add them together: 2(4 * 3) + 2(6 * 3) = 24 + 36 = 60 sq. inches.
Adding the surface area of both portions together gives us the total surface area of the platform: 84 sq. inches + 60 sq. inches = 144 sq. inches.
Therefore, the surface area of the L-shaped platform, with a thickness of 3 inches, is 144 square inches.
To find the surface area of the platform, we need to find the area of all four sides.
First, let's find the area of the longer portion of the platform:
Length = 16 - 12 = 4 inches
Width = 10 inches
Height = 3 inches
Surface area of the longer portion = 2(4*3) + 2(10*3) = 24 + 60 = 84 sq. inches
Next, let's find the area of the shorter portion of the platform:
Length = 4 inches
Width = 6 inches
Height = 3 inches
Surface area of the shorter portion = 2(4*3) + 2(6*3) = 24 + 36 = 60 sq. inches
The total surface area of the platform is the sum of the areas of both portions:
Total surface area = 84 + 60 = 144 sq. inches.
Therefore, the surface area of the platform if it is 3 in. thick is 144 sq. inches.