What are the steps to approaching a fermi-estimation question?
Step 1: State what approximations you are using. Step 2: State your assumptions. Step 3: Carry out your calculations. Step 4: Check the validity of your answer. Step 5: If necessary return to step 2. Step 6: State your answer
What is the average human lifespan?
80 years
What is the average human height?
1.65m
What is the average human weight?
70kg
What is the average human heart rate?
80 beats per minute
What is the average population of a village?
100 to 1000 people
What is the average population of a town?
1000 to 100000 people
What is the population of the UK?
68 million
What is the world population?
8 billion
What is the average days in a school year?
200 days
How would you work out the area of a square?
area = length x width
How would you work out the area of a triangle?
area = 1/2 x base x perpendicular height
How would you work out the area of a circle?
pi x r^2
How would you work out the circumference of a circle?
pi x diameter
What does perimeter mean?
The distance around a shape
How would you work out the area of a trapezium?
area = (a + b) x perpendicular height/2
How would you work out the volume of a cuboid?
volume = length x width
How would you work out the volume of a prism?
volume = cross section area x depth
How would you work out the volume of a cylinder?
volume = pi x radius^2 x perpendicular height
How would you work out the volume of a pyramid?
volume = 1/3 x base area x perpendicular height
How would you work out the volume of a cone?
volume = 1/3 x pi x radius^2 x perpendicular height
How would you work out the volume of a sphere?
volume = 4/3 x pi x radius^3
How would you work out the surface area of a cylinder?
SA = (2 x pi x radius^2) + (2 x pi x radius x perpendicular height)
How would you work out surface area of a pyramid?