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1. The following object has been drawn on isometric dot paper, where the distance between dots is 2cm. Find the surface area of the object.

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Final answer:

To find the surface area of an object based on a drawing, you need the shape and measurements. Multiply by the scale factor to get real dimensions; then calculate area as you would normally. For example, a drawing of a room scaled 1 cm to 2 meters and measuring 1.5 cm by 2.5 cm would represent an actual area of 15 m².

Step-by-step explanation:

To calculate the surface area of the object drawn on isometric dot paper, we need to know the exact dimensions and shape of the object, which are not provided in your question. However, I can help you understand how to approach these types of problems in general. Once you have the shape and correct measurements, you'd typically break down the object into simple geometric shapes, calculate the surface area of each shape, and then sum them up to get the total surface area. To find the actual dimensions and areas based on a scale, you would multiply the measurements on the paper by the scale factor.

For instance, if a room measures 1.5 cm by 2.5 cm on a scale drawing where 1 cm represents 2 meters, the actual dimensions of the room would be 3 meters by 5 meters. The actual area would be calculated by multiplying the actual length and width (3m * 5m = 15m²).

In the case of running a race, if Samir ran a race that was 10 kilometers long, to convert kilometers to meters, you would multiply by 1,000 (because there are 1,000 meters in a kilometer), resulting in Samir running 10,000 meters.

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