5.3 Compare Your Answers 4

Compare your answers.

1. The volume of an object is 512 ft³. The object is then reduced to 75% of its original size. What is the volume of the new object?
   
   
   
   
    
2. The area of the base of the Jack in the Box toy shown below is 25 in² and the height of the box is 6 inches. The miniaturized key chain version of the same Jack in the Box is the size of the original. Determine the volume of the miniaturized version.
   
   
   
   
   The miniature version is the size of the original. As such, the scale factor is .
   Determine the volume of the original prism.
   
   
   
   Determine the volume of the miniature.
   
   
   
   The volume of the miniature is approximately 5.6 in³.
   
   
   
   
3. What is the scale factor if a baseball of volume 12.31 in³ is enlarged to the size of a softball of
   volume 29.18 in³?
   
   
   
   The scale factor is 1.33.

.

For further information about volume and scale factor see pp. 496 to 498 of Principles of Mathematics 11.