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
Another one EnnyDgreat🥰 — let's solve it. Q2(a): A room 1728 cubic metres by volume is represented in a model by a cube of 4 centimetres side. Show the RF of the scale. Step 1: Determine the side length of the actual room. The volume of the actual room is 1728 m^3. Since it's represented by a cube in the model, we assume the room is also a cube. The volume of a cube is given by V = S^3, where S is the side length. S^3 = 1728 m^3 To find S, take the cube root of the volume: S = [3]1728 m^3 S = 12 m Step 2: Convert all measurements to the same unit. The side of the model cube is 4 cm. The side of the actual room is 12 m. Convert meters to centimeters: 12 m = 12 × 100 cm = 1200 cm Step 3: Calculate the Representative Fraction (RF) of the scale. The RF is the ratio of the length on the drawing (model) to the actual length. RF = Length on modelActual length RF = 4 cm1200 cm Step 4: Simplify the RF. RF = (4)/(1200) RF = (1)/(300) The Representative Fraction (RF) of the scale is (1)/(300). Send me the next one 📸