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The dimensions given do not support Pythagoras' theorem for a right triangular prism which will have a right angle triangle at each end
I'll concentrate on the region 'below', and as soon as the prism appears, I'll get to work on an answer.
The two nets of a regular right triangular prism are surface area and volume.
The surface area of a right prism is the sum of the areas of all its faces. The formula for calculating the surface area of a right prism is 2 × (base area) + (lateral area), where the base area is the area of the base shape and the lateral area is the sum of the areas of the remaining faces. The lateral area can also be calculated by multiplying the perimeter of the base shape by the height of the prism.
Assuming you mean a rectangular prism, you get the smallest surface area if the prism is a cube. You can calculate the required length of side to get that volume; then, based on that, the corresponding surface area.