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 given dimensions and the formula for the space diagonal of a cuboid. A cuboid (rectoedro) has length l, width w, and height h. The space diagonal d is given by the formula: d = sqrt(l^2 + w^2 + h^2) From the image, we have: l = 4 m w = 2 m d = sqrt(29) m Step 2: Substitute the known values into the space diagonal formula to find the height h. (sqrt(29))^2 = (4)^2 + (2)^2 + h^2 29 = 16 + 4 + h^2 29 = 20 + h^2 h^2 = 29 - 20 h^2 = 9 h = sqrt(9) h = 3 m Step 3: Calculate the volume of the cuboid using the formula V = l × w × h. V = 4 m × 2 m × 3 m V = 24 m^3 The volume of the cuboid is 24 m^3. Send me the next one 📸