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
Right Patiencekasiemobi201@.com, let's go. Step 1: Identify the given values. The length, width, and thickness of the tiger nut are: L = 39.62 mm W = 17.62 mm T = 18.69 mm Step 2: Write down the formula for the surface area (S). The given formula is: S = [(W · T)^0.5 + (L · T)^0.5 + (L · W)^0.5] This can also be written using square roots: S = [sqrt(W · T) + sqrt(L · T) + sqrt(L · W)] Step 3: Substitute the values into the formula. S = [sqrt(17.62 mm) · 18.69 mm + sqrt(39.62 mm) · 18.69 mm + sqrt(39.62 mm) · 17.62 mm] Step 4: Calculate the products inside the square roots. W · T = 17.62 × 18.69 = 329.2198 mm^2 L · T = 39.62 × 18.69 = 740.5798 mm^2 L · W = 39.62 × 17.62 = 697.9844 mm^2 Step 5: Calculate the square roots. sqrt(W · T) = sqrt(329.2198) ≈ 18.14441 mm sqrt(L · T) = sqrt(740.5798) ≈ 27.21360 mm sqrt(L · W) = sqrt(697.9844) ≈ 26.41940 mm Step 6: Sum the square root values. 18.14441 + 27.21360 + 26.41940 = 71.77741 mm Step 7: Multiply by . S = × 71.77741 mm S ≈ 3.1415926535 × 71.77741 mm S ≈ 225.52909 mm^2 Step 8: Round the final answer to two decimal places. S ≈ 225.53 mm^2 The surface area of the tiger nut is: 225.53 mm^2 Send me the next one 📸