Surface Area of Composite 3D Figures Practice

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Question
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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

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

First, calculate the area of the whole platform before the rectangular portion is removed:

Area = length * width
Area = 16 in. * 10 in.
Area = 160 in^2

Next, calculate the area of the removed rectangle:

Area = length * width
Area = 12 in. * 4 in.
Area = 48 in^2

Subtract the area of the removed rectangle from the total area to find the surface area of the platform:

Remaining area = total area - removed area
Remaining area = 160 in^2 - 48 in^2
Remaining area = 112 in^2

Since the platform is 3 inches thick, you will need to multiply this remaining area by 3:

Surface area = Remaining area * thickness
Surface area = 112 in^2 * 3
Surface area = 336 in^2

Therefore, the surface area of the platform if it is 3 in. thick is 336 in^2.