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
To find the surface area of the platform, we need to calculate the area of each individual piece and then add them together.
1. The larger rectangle:
Length = 16 inches
Width = 10 inches
Area of larger rectangle = Length x Width = 16 inches x 10 inches = 160 square inches
2. The smaller rectangle:
Length = 4 inches
Width = 6 inches
Area of smaller rectangle = Length x Width = 4 inches x 6 inches = 24 square inches
Now, we need to calculate the total surface area of the platform:
Total surface area = (Area of larger rectangle + Area of smaller rectangle) x Thickness
Total surface area = (160 square inches + 24 square inches) x 3 inches
Total surface area = 184 square inches x 3 inches
Total surface area = 552 square inches
Therefore, the surface area of the platform, if it is 3 inches thick, is 552 square inches.