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
To calculate the surface area of a rectangular prism, we use the formula: Surface Area = 2(lw + lh + wh) where l is the length, w is the width, and h is the height. Given: Base measures 6 cm by 10 cm, so we can take: Length (l) = 10 cm Width (w) = 6 cm Height (h) = 9 cm Step 1: Substitute the given dimensions into the formula. Surface Area = 2((10 cm × 6 cm) + (10 cm × 9 cm) + (6 cm × 9 cm)) Step 2: Calculate the area of each pair of faces. Surface Area = 2(60 cm^2 + 90 cm^2 + 54 cm^2) Step 3: Sum the areas inside the parentheses. Surface Area = 2(204 cm^2) Step 4: Multiply by 2 to get the total surface area. Surface Area = 408 cm^2 The surface area of the prism is 408 cm^2.