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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 19 Page 457

Similar solids are solids that have the same shape and proportional corresponding dimensions.

Yes

Practice makes perfect

We are given two cylinders and their dimensions.

cylinders

We want to know if these two solids are similar. Similar solids have the same shape and proportional corresponding dimensions. We will calculate the ratio between corresponding lengths to determine if the cylinders are similar.

Ratio	Substitute	Simplify
Height of the big cylinder/Height of small cylinder	7.5/5	1.5
Radius of the big cylinder/Radius of the small cylinder	6/4	1.5

The ratio between the heights is 1.5. The ratio between the radii is also 1.5. This means that the cylinders are similar.

Subchapter links

1 Volumes of Cylinders p.455

2 Volumes of Cones p.456

3 Volumes of Spheres p.456-457

4 Surface Areas and Volumes of Similar Solids p.457