Question

Nikolai is making an l shaped platform for this collection of action figures. What is the surface area of the platform if it is three inches thick

Answer 1

To find the surface area of the l-shaped platform, we first need to determine the dimensions of each section of the platform. Let's say the longer section of the platform is 12 inches long and 6 inches wide, while the shorter section is 6 inches long and 3 inches wide.

Surface area of the longer section = length x width
Surface area of the longer section = 12 inches x 6 inches
Surface area of the longer section = 72 square inches

Surface area of the shorter section = length x width
Surface area of the shorter section = 6 inches x 3 inches
Surface area of the shorter section = 18 square inches

Now, calculate the combined surface area of both sections:
Combined surface area = Surface area of the longer section + Surface area of the shorter section
Combined surface area = 72 square inches + 18 square inches
Combined surface area = 90 square inches

Since the platform is 3 inches thick, we need to multiply the combined surface area by 3 to get the total surface area of the platform:
Total surface area = Combined surface area x Thickness
Total surface area = 90 square inches x 3 inches
Total surface area = 270 square inches

Therefore, the surface area of the l-shaped platform for Nikolai's action figures is 270 square inches.