1 / 17

Lesson Menu

Lesson Menu. Main Idea and New Vocabulary Key Concept: Surface Area of Similar Solids Example 1: Surface Area of Similar Solids Example 2: Surface Area of Similar Solids Key Concept: Volume of Similar Solids Example 3: Volume of Similar Solids Example 4: Real-World Example.

lev-levine
Télécharger la présentation

Lesson Menu

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson Menu Main Idea and New Vocabulary Key Concept: Surface Area of Similar Solids Example 1: Surface Area of Similar Solids Example 2: Surface Area of Similar Solids Key Concept: Volume of Similar Solids Example 3: Volume of Similar Solids Example 4: Real-World Example

  2. Solve problems involving similar solids. • similar solids Main Idea/Vocabulary

  3. Key Concept

  4. Surface Area of Similar Solids The surface area of a rectangular prism is 90 square inches. What is the surface area of a similar prism that is larger by a scale factor of 5? S.A. = 90 ×52 Multiply by the square of the scale factor. S.A. = 90 × 25 Square 5. S.A. = 2,250 in2 Simplify. Answer: The surface area is 2,250 in2. Example 1

  5. The surface area of a rectangular prism is 34 square feet. What is the surface area of a similar prism that is 2 times as large? A. 36 ft2 B. 68 ft2 C. 136 ft2 D. 1,156 ft2 Example 1 CYP

  6. STATUE The surface area of a pyramid-shaped statue is 160 square meters. If a scale model is of the statue’s actual size, what is the surface area of the model in square centimeters? Multiply by the square of the scale factor. Square Surface Area of Similar Solids Example 2

  7. Simplify. = 4,000 cm2 Simplify. Surface Area of Similar Solids Convert square meters to square centimeters. Answer: The surface area of the model is 4,000 cm2. Example 2

  8. 1 __ 8 DISPLAYS An ice cream shop has a 4-foot tall icecream cone that is displayed inside the store. Thecone has a surface area of 2,318 square inches. Aregular ice cream cone is the size of the display.What is the surface area of the regular ice creamcone? Round to the nearest tenth if necessary. A. 30.0 in2 B. 36.2 in2 C. 144.9 in2 D. 289.8 in2 Example 2 CYP

  9. Key Concept 3

  10. Multiply by the cube of the scale factor. Cube . Volume of Similar Solids A triangular prism has a volume of 96 cubic feet. If the prism is reduced to one half its original dimensions, what is the volume of the new prism? V = 12 ft3 Simplify. Answer: The volume of the new prism is 12 cubic feet. Example 3

  11. A triangular prism has a volume of 162 cubic feet. If the prism is reduced to one third its original dimensions, what is the volume of the new prism? A. 486 ft3 B. 54 ft3 C. 18 ft3 D. 6 ft3 Example 3 CYP

  12. SOUP A jumbo-size can of tomato soup is about 3 times the size of a standard-sized can of soup. The standard can has the dimensions shown. Find the surface area and volume of the jumbo-size can. Example 4

  13. Find the volume and surface area of the standard soup can first. V = r2h ≈ (3.14)(3.25)2(10) ≈ 331.67 cm3 S.A. = 2(r2) + 2rh ≈ 2(3.14)(3.25)2 + 2(3.14)(3.25)(10) ≈ 66.33 + 204.1 ≈ 270.43 cm2 Example 4

  14. Find the volume and surface area of the jumbo-size soup can using the scale factor. V = V(3)3 ≈ (331.67)(3)3 ≈ 8,955 cm3 S.A. = S.A.(3)2 ≈ (270.43)(3)2 ≈ 2,434 cm2 Answer: The jumbo-size soup can has a volume of about 8,955 cubic centimeters and a surface area of about 2,434 square centimeters. Example 4

  15. 12 in. 12 in. 12 in. PACKAGING A moving company has boxes of various sizes for packing. The smallest box available has the dimensions shown below. Find the surface area and volume of a larger box that is 3 times as large. A.S.A. = 2,592 in2; V = 5,184 in3 B.S.A. = 3,456 in2; V = 6,912 in3 C.S.A. = 7,776 in2; V = 15,552 in3 D.S.A. = 7,776 in2; V = 46,656 in3 Example 4 CYP

More Related