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 of the cuboid. From the image, the dimensions are: Length (l) = 8 cm Width (w) = 9 cm Height (h) = 4 cm Step 2: Recall 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. SA = 2((8 cm × 9 cm) + (8 cm × 4 cm) + (9 cm × 4 cm)) Step 4: Calculate the area of each pair of faces. SA = 2(72 cm^2 + 32 cm^2 + 36 cm^2) Step 5: Sum the areas and multiply by 2. SA = 2(140 cm^2) SA = 280 cm^2 The calculated surface area is 280 cm^2. The provided answer in the image is 288 cm^2. Therefore, the provided answer is incorrect. SA = 280 cm^2 That's 2 down. 3 left today — send the next one.