Question 22
1 pts
A solid plastic toy elephant has a mass of $0.1 \mathrm{~kg}$ and a length of $10 \mathrm{~cm}$. What is the mass of a similar toy $30 \mathrm{~cm}$ long? $\mathrm{kg}$

Step 1 ：The problem is asking for the mass of a similar toy elephant that is 30 cm long, given that a 10 cm long toy elephant has a mass of 0.1 kg. This is a problem of geometric similarity. When the dimensions of an object are scaled by a factor, the volume (and hence the mass, assuming constant density) scales by the cube of that factor. In this case, the length is tripled, so the mass should increase by a factor of \(3^3 = 27\).

Step 2 ：Let's denote the initial mass as \(0.1\) kg and the scale factor as \(3\).

Step 3 ：We can calculate the final mass by multiplying the initial mass by the cube of the scale factor: \(0.1 \times 3^3\).

Step 4 ：The final mass of the toy elephant that is 30 cm long is \(\boxed{2.7}\) kg.