CK12 - Geometry

A rectangularpyramidand a circularconehavethe sameheight,and basearea.Are their volumescongru-
ent?

Yes. Eventhoughthe two figuresare different,both can be computedby usingthe followingformula:

Since

Then

Similaror Not Similar

Two solidsof the sametype withequalratiosof correspondinglinearmeasures(suchas heightsor radii)
are calledsimilarsolids.

To be similar, figuresneedto havecorrespondinglinearmeasuresthat are in proportionto one another. If
theselinearmeasuresare not in proportion,the figuresare not similar.

Example 1

Are thesetwo figuressimilar?

If the figuresare similar, all ratiosfor correspondingmeasuresmustbe the same.

The ratiosare: