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
thats wrong
The surface area of the platform can be calculated by finding the area of each of the three rectangular sections and then adding them together.
Area of the larger rectangle: Length x Width = 16 in x 10 in = 160 in^2
Area of the smaller rectangle removed from the bottom right: 12 in x 4 in = 48 in^2
Area of the shorter portion removed from the larger rectangle: 4 in x 6 in = 24 in^2
Total area = 160 in^2 - 48 in^2 - 24 in^2 = 88 in^2
Since the platform is 3 inches thick, we need to multiply the total surface area by the thickness:
Surface area = 88 in^2 x 3 in = 264 in^2
Therefore, the surface area of the platform is 264 square inches.