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# Estimating Surface Area - PowerPoint PPT Presentation

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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### 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)

Estimating the Surface Area of 3-D Objects

Cone

Model Your Shape surface area of a complex 3-D shape

• Simple shapes can be used to estimate the surface area of more complicated 3-D objects

• What shape do you think we should use?

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 approach

What 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

More complicated shapes estimate!

• What do you think we should do?

This looks pretty good… estimate!

• Don’t forget, not all the surface area of the boxes needs to be counted.