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Changing Dimensions: Keep it, Square it, Cube it! Effects on Perimeter, Area, and Volume in Geometry

Explore the impact of altering dimensions in geometry. Learn the rules: KEEP IT (Perimeter stays same), SQUARE IT (Area increases with square of change), and CUBE IT (Volume changes with cube of dimension change). Experiment with different shapes like cylinders, prisms, cones, and spheres to understand how modifying dimensions affects volume and surface area. Test your knowledge with quizzes to reinforce learning.

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Changing Dimensions: Keep it, Square it, Cube it! Effects on Perimeter, Area, and Volume in Geometry

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  1. Check HW! 13) 24) 6 cm 14) 25) 15) 26) 17) 18) 19)

  2. Changing Dimensions

  3. Keep it, Square it, Cube it • When you increase or decrease dimensions by a certain amount, it affects the perimeter, area and volume • Perimeter- KEEP IT! New Perimeter stays the same • Area- SQUARE IT! New Area would be the square of the dimension change • Volume- CUBE IT! Volume would be the cube of the dimension change

  4. The radius and height of the cylinder are multiplied by . Describe the effect on the volume.

  5. The length, width, and height of the prism are doubled. Describe the effect on the volume. Doubling the dimensions increases the volume by 8 times.

  6. The diameter and height of the cone are divided by 3. Describe the effect on the volume. the volume is divided by 33, or 27.

  7. Lesson Quiz: Part II A cone has radius 2 in. and height 7 in. If the radius and height are multiplied by , describe the effect on the volume. The volume is multiplied by .

  8. the volume is multiplied by , or . The radius of the sphere is multiplied by . Describe the effect on the volume.

  9. The radius of the sphere is divided by 3. Describe the effect on the surface area. The surface area is divided by 9.

  10. Lesson Quiz: Part II A sphere has radius 4. If the radius is multiplied by 5, describe what happens to the surface area. The surface area is multiplied by 25.

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