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: Solve 3.1.1 • A bar scale is a graphic representation of the scale, usually a line segment divided into parts, with actual distances marked. It remains accurate even if the map or plan is resized. • A number scale (or ratio scale) is expressed as a ratio (e.g., 1:50) or a fraction. It indicates that one unit on the map represents a certain number of units in reality. It becomes inaccurate if the map or plan is resized. Step 2: Solve 3.1.2 The meaning of the scale 1:50 is that 1 unit of measurement on the plan represents 50 of the same units of measurement in actual length. For example, 1 cm on the plan represents 50 cm in reality. Step 3: Solve 3.1.3 The length of the desk on the plan is 6 cm. The scale is 1:50. To find the actual length, multiply the plan length by the scale factor. Actual length = Plan length × Scale factor Actual length = 6 cm × 50 Actual length = 300 cm Convert the actual length from centimeters to meters (since 1 m = 100 cm): Actual length in meters = 300 cm100 cm/m Actual length in meters = 3 m The actual length of the desk is 3 m. Step 4: Solve 3.1.4 The distance between the desks on the plan is 4 cm. The scale is 1:50. To find the actual distance, multiply the plan distance by the scale factor. Actual distance = Plan distance × Scale factor Actual distance = 4 cm × 50 Actual distance = 200 cm Convert the actual distance from centimeters to meters (since 1 m = 100 cm): Actual distance in meters = 200 cm100 cm/m Actual distance in meters = 2 m The actual distance between the desks is 2 m. Drop the next question.