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
Here's the solution for question 3. Question 3: Calculate the length of the edge of a closed cube whose total surface area is 150 cm^2. Step 1: State the given total surface area and the formula for the total surface area of a cube. The total surface area (TSA) of the cube is 150 cm^2. The formula for the total surface area of a closed cube is TSA = 6s^2, where s is the length of the edge. Step 2: Substitute the given surface area into the formula and solve for s^2. 150 cm^2 = 6s^2 Divide both sides by 6: s^2 = 150 cm^26 s^2 = 25 cm^2 Step 3: Calculate the length of the edge s by taking the square root. s = sqrt(25 cm)^2 s = 5 cm The length of the edge of the cube is 5 cm. 3 done, 2 left today. You're making progress.