Final answer:
The volume of the North American continent is 16,185,100 km³, its mass is approximately 48,555,300,000,000,000 kg, it moves 14 centimeters in 10 years, and its density is 3000 kg/m³.
Step-by-step explanation:
To answer the student's questions about the North American continent, we need to apply concepts of basic geometry and physics.
Part A: Volume Calculation
Volume is calculated by multiplying the length by the width by the depth. Thus, the volume of the North American continent can be determined as follows:
Volume = 4100 km × 4100 km × 31 km
Volume = 522,100 km² × 31 km
Volume = 16,185,100 km³
Part B: Mass Calculation
Mass is calculated by multiplying volume by density. The mass of the North American continent can be found using the formula:
Mass = Volume × Density
First, we need to convert the volume from cubic kilometers to cubic meters:
1 km³ = 1,000,000,000 m³
Volume in cubic meters = 16,185,100 km³ × 1,000,000,000 m³/km³
Volume in cubic meters = 16,185,100 × 10¹ m³
Now, we calculate the mass:
Mass = 16,185,100 × 10¹ m³ × 3000 kg/m³
Mass = 48,555,300,000,000,000 kg
Part C: Continental Movement over 10 Years
To calculate how much the North American continent moves in 10 years, we just need to multiply the yearly rate of movement by the number of years:
Movement in 10 years = 1.4 cm/year × 10 years
Movement in 10 years = 14 centimeters
Part D: Density Calculation
The density of the North American continent is already provided as 3000 kg/m³, so no additional calculation is needed.