Practice and Problem-Solving Exercises

A Practice

See Problem 1.

For Exercises 5–10, are the two figures similar? If so, give the scale factor of the first figure to the second figure.

5. 
6. 
7. 
8. 
9. two cubes, one with 3-cm edges, the other with 4.5-cm edges
10. a cylinder and a square prism both with 3-in. radius and 1-in. height

See Problem 2.

Each pair of figures is similar. Use the given information to find the scale factor of the smaller figure to the larger figure.

11. 

    V = 250 π  ft 3 v equals 250 , pi , ft cubed

    

    V = 432 π  ft 3 v equals 432 , pi , ft cubed

12. 

    V = 216  in . 3 v equals . 216 , in , . cubed

    

    V = 343  in . 3 v equals . 343 , in , . cubed

13. 

    S . A . = 18  m 2 cap s . cap a . equals . 18 , m squared

    

    S . A . = 32  m 2 cap s . cap a . equals . 32 , m squared

14. 

    S . A . = 20 π  yd 2 cap s . cap a . , equals 20 , pi , yd squared

    

    S . A . = 125 π  yd 2 cap s . cap a . , equals 125 , pi , yd squared

See Problem 3.

The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.

15. S . A . = 248  in . 2 cap s . cap a . equals . 248 , in , . squared

    S . A . = 558  in . 2 cap s . cap a . equals . 558 , in , . squared

    V = 810  in . 3 v equals . 810 , in , . cubed

16. S . A . = 192  m 2 cap s . cap a . equals . 192 , m squared

    S . A . = 1728  m 2 cap s . cap a . equals . 1728 , m squared

    V = 4860  m 3 v equals . 4860 , m cubed

17. S . A . = 52  ft 2 cap s . cap a . equals 52 . ft squared

    S . A . = 208  ft 2 cap s . cap a . equals 208 . ft squared

    V = 192  ft 3 v equals 192 . ft cubed

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