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6. Connect Mathematical Ideas (1)(F) A cylindrical bead has a square hole, as shown at the right. Find the area of the surface of the entire bead. 3 mm. G T 9 mm ✓

6. Connect Mathematical Ideas (1)(F) A cylindrical bead has a square hole, as shown at the right. Find the area of the surface of the entire bead. 3 mm. G T 9 mm ✓

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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pencil has a length of 4 mm. The pencit (without eraser) edge of the has a height of 170 mm. What is the area of the surface or the pencil that gets painted? Ideas #EX hematical surfer one 15. Consider a box with dimensions 3, 4, and 5. a. Find its total surface area. 2(12+20+15), 2 (47), A = 94) 8x10)+ b. Double each dimension and then find the new total surface area. 2 (188), A=376) c. Find the ratio of the new total surface area to the original total surface area. +60) d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11. "NEW" e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of a rectangular prism affect the total surface area? 16. Connect Mathematical Ideas (1)(F) A cylindrical bead has a square hole, as shown at the right. Find the area of the surface of the entire bead. 3 mm. 20 mm 17. A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is 300 cm². What is the height of the prism? eal Relationships (1)(F) whey are diffic.em 19. Use Representations to Communicate Mathematical Ideas (1)(E) Use the diagram at the right. a. Find the three coordinates of each vertex A, B, C, and D D= (0,5,4) 24 of the rectangular prism. A=(3,0,0), B=(3,5,0), C= (0,5,0), I b. Find AB. (3-3)2 + (5-0)² + (0-0)2=5 1- c. Find BC. (0-3)² + (5-5)² + (0-0)² =3 d. Find CD. √(0-0)²+(5-5)² + (4-0)² = 4 e. Find the total surface area of the prism. s 2 Original" 9 mm 4 B 37 "qu D
Transcribed Image Text:pencil has a length of 4 mm. The pencit (without eraser) edge of the has a height of 170 mm. What is the area of the surface or the pencil that gets painted? Ideas #EX hematical surfer one 15. Consider a box with dimensions 3, 4, and 5. a. Find its total surface area. 2(12+20+15), 2 (47), A = 94) 8x10)+ b. Double each dimension and then find the new total surface area. 2 (188), A=376) c. Find the ratio of the new total surface area to the original total surface area. +60) d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11. "NEW" e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of a rectangular prism affect the total surface area? 16. Connect Mathematical Ideas (1)(F) A cylindrical bead has a square hole, as shown at the right. Find the area of the surface of the entire bead. 3 mm. 20 mm 17. A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is 300 cm². What is the height of the prism? eal Relationships (1)(F) whey are diffic.em 19. Use Representations to Communicate Mathematical Ideas (1)(E) Use the diagram at the right. a. Find the three coordinates of each vertex A, B, C, and D D= (0,5,4) 24 of the rectangular prism. A=(3,0,0), B=(3,5,0), C= (0,5,0), I b. Find AB. (3-3)2 + (5-0)² + (0-0)2=5 1- c. Find BC. (0-3)² + (5-5)² + (0-0)² =3 d. Find CD. √(0-0)²+(5-5)² + (4-0)² = 4 e. Find the total surface area of the prism. s 2 Original" 9 mm 4 B 37 "qu D
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