Estimating Surface Area. The art of math…. You can’t always get an exact answer when looking for the surface area of a complex 3-D shape We use estimation methods to get an approximate answer We will demonstrate this with a cone (even though there is a formula available).
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The art of math…
You can’t always get an exact answer when looking for the surface area of a complex 3-D shape
We use estimation methods to get an approximate answer
We will demonstrate this with a cone (even though there is a formula available)Estimating the Surface Area of 3-D Objects
If we only use the sides of the cylinder will this is an over or under estimate?Estimating with cylinders
You can see from the “net” that the cone had more surface area than the cylinders
What happens to our estimate if we use larger Cylinders?It was an underestimate
The cylinders are obviously larger than the cone surface area than the cylinders
Do you think this is more accurate? How do you know?Over Estimating
What if we averaged our results? Or tried cylinders a little smaller than these but bigger than the first set?
What else could we try?Over Estimating
This gives a much closer estimate than our first approachWhat happens if you increase the number of cylinders?
Is there a formula for this shape?
What shape should we use to calculate the surface area of this one?More Complicated Shapes