Whats the surface area of the polyhedron with L-7, W-3, H-5 and show work

To find the surface area of a rectangular prism (polyhedron), you need to find the areas of all six sides and add them together.

The formula to find the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh

Given:
Length (l) = 7
Width (w) = 3
Height (h) = 5

Substitute the values into the formula:
Surface Area = 2(7)(3) + 2(7)(5) + 2(3)(5)
Surface Area = 42 + 70 + 30
Surface Area = 142

Therefore, the surface area of the polyhedron with length 7, width 3, and height 5 is 142 square units.