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
1.1.1) Calculate the total area of all the rectangular sides of the chocolate pack. Step 1: Identify the dimensions of the rectangular sides. The chocolate pack is a triangular prism. It has three rectangular sides. The length of the prism is 8 cm. The sides of the triangular base are 4.2 cm, 3 cm, and 3 cm. Each rectangular side will have a length of 8 cm and a width corresponding to one of the triangle's sides. Step 2: Calculate the area of each rectangular side. Area of the first rectangular side (length 8 cm, width 4.2 cm): Area_1 = 8 cm × 4.2 cm = 33.6 cm^2 Area of the second rectangular side (length 8 cm, width 3 cm): Area_2 = 8 cm × 3 cm = 24 cm^2 Area of the third rectangular side (length 8 cm, width 3 cm): Area_3 = 8 cm × 3 cm = 24 cm^2 Step 3: Calculate the total area of all rectangular sides. Total Area = Area_1 + Area_2 + Area_3 Total Area = 33.6 cm^2 + 24 cm^2 + 24 cm^2 Total Area = 81.6 cm^2 The total area of all the rectangular sides is 81.6 cm^2. 1.1.2) Calculate the perimeter of one triangle in mm. Step 1: Identify the side lengths of the triangle. The sides of the triangular base are 4.2 cm, 3 cm, and 3 cm. Step 2: Calculate the perimeter in cm. The perimeter is the sum of all side lengths. Perimeter = 4.2 cm + 3 cm + 3 cm Perimeter = 10.2 cm Step 3: Convert the perimeter from cm to mm. Since 1 cm = 10 mm: Perimeter in mm = 10.2 cm × 10 mmcm Perimeter in mm = 102 mm The perimeter of one triangle is 102 mm. Send me the next one 📸