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 inches thick
In order to calculate the surface area of the L-shaped platform, we first need to determine the dimensions of the platform in length, width, and height.
Let's assume the platform has the following dimensions:
- Length of the longer side: 12 inches
- Width of the shorter side: 8 inches
- Height: 3 inches
The L-shaped platform can be divided into two rectangular prisms: one with dimensions 12 inches by 8 inches by 3 inches and the other with dimensions 4 inches by 8 inches by 3 inches.
The surface area of the first rectangular prism is:
2*(12*8 + 12*3 + 8*3) = 2*(96 + 36 + 24) = 2*(156) = 312 square inches
The surface area of the second rectangular prism is:
2*(4*8 + 4*3 + 8*3) = 2*(32 + 12 + 24) = 2*(68) = 136 square inches
Therefore, the total surface area of the L-shaped platform is:
312 + 136 = 448 square inches
So, the surface area of the platform is 448 square inches.