Question

what is the surface area of the solid that this net can form? 730 square millimeters 875 square millimeters 1,000 square millimeters 1,444 square millimeters

Explanation:

Step1: Calculate the area of each rectangle

• There are two rectangles with dimensions \(25\times8\) mm. Area of one \(25\times8\) rectangle: \(25\times8 = 200\) \(mm^{2}\). Total for two: \(2\times200=400\) \(mm^{2}\)
• There are two rectangles with dimensions \(25\times5\) mm. Area of one \(25\times5\) rectangle: \(25\times5 = 125\) \(mm^{2}\). Total for two: \(2\times125 = 250\) \(mm^{2}\)
• There are two rectangles with dimensions \(8\times5\) mm. Area of one \(8\times5\) rectangle: \(8\times5=40\) \(mm^{2}\). Total for two: \(2\times40 = 80\) \(mm^{2}\)

Step2: Sum up the areas

Sum of all areas: \(400 + 250+80=730\) \(mm^{2}\)

Answer:

730 square millimeters