This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the dimensions for each rectangular face. The length of the prism is 12 units. This will be one dimension for all rectangular faces. The other dimension for each rectangular face is the corresponding side of the triangular base. Rectangle 1: Corresponds to Side 1 of the triangle. Length = 12 Width = Side 1 = 6 Rectangle 2: Corresponds to Side 2 of the triangle. Length = 12 Width = Side 2 = 5 Rectangle 3: Corresponds to Side 3 of the triangle. Length = 12 Width = Side 3 = 6 Step 2: Calculate the area of Rectangle 1. The area of a rectangle is given by the formula A = length × width. A_Rectangle 1 = 12 × 6 A_Rectangle 1 = 72 The area of Rectangle 1 is 72 square units. Step 3: Calculate the area of Rectangle 2. A_Rectangle 2 = 12 × 5 A_Rectangle 2 = 60 The area of Rectangle 2 is 60 square units. Step 4: Calculate the area of Rectangle 3. A_Rectangle 3 = 12 × 6 A_Rectangle 3 = 72 The area of Rectangle 3 is 72 square units. Send me the next one 📸