1. Holt Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Change in dimensions Holt Geometry

2. 10-4 Surface Area of Prisms and Cylinders Example 4: Exploring Effects of Changing Dimensions The edge length of the cube is tripled. Describe the effect on the surface area.

3. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Example 4 Continued original dimensions:edge length tripled: Notice than 3456 = 9(384). If the length, width, and height are tripled, the surface area is multiplied by 3 2, or 9. S = 6ℓ 2 = 6(8) 2 = 384 cm 2 S = 6ℓ 2 = 6(24) 2 = 3456 cm 2 24 cm

4. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Check It Out! Example 4 The height and diameter of the cylinder are multiplied by. Describe the effect on the surface area.

5. Holt Geometry 10-4 Surface Area of Prisms and Cylinders original dimensions:height and diameter halved: S = 2(11 2 ) + 2(11)(14) = 550 cm 2 S = 2(5.5 2 ) + 2(5.5)(7) = 137.5 cm 2 11 cm 7 cm Check It Out! Example 4 Continued Notice than 550 = 4(137.5). If the dimensions are halved, the surface area is multiplied by

6. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Example 3: Exploring Effects of Changing Dimensions The base edge length and slant height of the regular hexagonal pyramid are both divided by 5. Describe the effect on the surface area.

7. Holt Geometry 10-4 Surface Area of Prisms and Cylinders 3 in. 2 in. Example 3 Continued original dimensions: base edge length and slant height divided by 5: S = Pℓ + B 1212 1212

8. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Example 3 Continued original dimensions: base edge length and slant height divided by 5: 3 in. 2 in. Notice that. If the base edge length and slant height are divided by 5, the surface area is divided by 5 2, or 25.

9. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Check It Out! Example 3 The base edge length and slant height of the regular square pyramid are both multiplied by. Describe the effect on the surface area.

10. Holt Geometry 10-4 Surface Area of Prisms and Cylinders Check It Out! Example 3 Continued original dimensions:multiplied by two-thirds: By multiplying the dimensions by two-thirds, the surface area was multiplied by. 8 ft 10 ft S = Pℓ + B 1212 = 260 cm 2 S = Pℓ + B 1212 = 585 cm 2