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
Welcome back mutethiajefferson50 — missed you this week. Here are the calculations for the surface area and volume of the cuboid. b) Calculate the surface area of the cuboid. Step 1: Identify the dimensions of the cuboid. Length (L) = 5 cm Width (W) = 3 cm Height (H) = 2 cm Step 2: Use the formula for the surface area of a cuboid. The surface area (SA) of a cuboid is given by the formula: SA = 2(LW + LH + WH) Step 3: Substitute the dimensions into the formula and calculate. SA = 2((5 cm × 3 cm) + (5 cm × 2 cm) + (3 cm × 2 cm)) SA = 2(15 cm^2 + 10 cm^2 + 6 cm^2) SA = 2(31 cm^2) SA = 62 cm^2 The student's calculation for the surface area is correct. The surface area of the cuboid is 62 cm^2. c) Calculate the volume of the solid. Step 1: Identify the dimensions of the cuboid. Length (L) = 5 cm Width (W) = 3 cm Height (H) = 2 cm Step 2: Use the formula for the volume of a cuboid. The volume (V) of a cuboid is given by the formula: V = L × W × H Step 3: Substitute the dimensions into the formula and calculate. V = 5 cm × 3 cm × 2 cm V = 15 cm^2 × 2 cm V = 30 cm^3 The student's calculation for the volume is correct. The volume of the solid is 30 cm^3. Send me the next one 📸