6. (20 points) A one-kilogram model of a sports car body was made from aluminum at a scale of 1:10. What is the mass of the actual body if it is also entirely made of aluminum?
Answer: 1000 kg

Solution. All dimensions of the body are 10 times larger compared to the model. Therefore, the volume of the body is larger by $10 \cdot 10 \cdot 10=1000$ times. Mass is directly proportional to volume, therefore, the mass of the body:

$$
m_{\text {body }}=1000 m_{\text {model }}=1000 \text { kg. }
$$

Preliminary Stage

6th grade

2018-2019

Variant 2

Tasks, answers, and evaluation criteria