CK12 - Geometry

ft in height,

inchesin width,and

inchesin depth.The real buildingwill be

feet tall. How wide will the real buildingbe?

First find the scalingfactor.

To find the width,simplymultiplythe widthof the modelby the scalingfactor.

ReviewExercises

1. How doesthe volumeof a cubechangeif the sidesof a cubeare multipliedby 4? Explain.


2. In a coneif the radiusand heightare doubledwhathappensto the volume?Explain.


3. In a rectangularsolid,is the sidesare doubledwhathappensto the volume?Explain.


4. Two sphereshaveradii of 5 and 9. Whatis the ratio of their volumes?


5. The ratio of the volumesof two similarpyramidsis 8:27.Whatis the ratio of their total surfaceareas?


6. A) Are all spheressimilar?B) Are all cylinderssimilar?C) Are all cubessimilar?Explainyour answersto
   eachof these.


7. The ratio of the volumesof two tetrahedronis 1000:1.The smallertetrahedronhas a side of length 6
   centimeters.Whatis the side lengthof the largertetrahedron?

Referto thesetwo similarcylindersin problems8 – 10: