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2. A right prism has a base that is an equilateral triangle with an edge of 10 cm. The height of the triangular prism is 12 cm. a. Use the formulas for lateral and total surface area of a prism to determine the lateral and total surface area of the triangular prism to the nearest tenth of a square centimeter. b. How would tripling the height affect the surface area? Justify your answer. c. Use the formula for volume of a prism to determine the volume of the triangular prism. d. How would the volume be affected by changing all linear dimensions by a factor of 3? Justify your answer.

2. A right prism has a base that is an equilateral triangle with an edge of 10 cm. The height of the triangular prism is 12 cm. a. Use the formulas for lateral and total surface area of a prism to determine the lateral and total surface area of the triangular prism to the nearest tenth of a square centimeter. b. How would tripling the height affect the surface area? Justify your answer. c. Use the formula for volume of a prism to determine the volume of the triangular prism. d. How would the volume be affected by changing all linear dimensions by a factor of 3? Justify your answer.

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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Please answer A through D would really appreciate it. Thank you
100% Normal text Verdana 12 B A 2 3 I 4 | 5. I 6. | 7 . 8 I Student Note: For each task: • Analyze the situation(s). • Organize and record your work. • Use precise mathematical language to justify and explain each mathematical process. Surface Area and Volume of 2D/3D Figures 2. A right prism has a base that is an equilateral triangle with an edge of 10 cm. The height of the triangular prism is 12 cm. a. Use the formulas for lateral and total surface area of a prism to determine the lateral and total surface area of the triangular prism to the nearest tenth of a square centimeter. b. How would tripling the height affect the surface area? Justify your answer. c. Use the formula for volume of a prism to determine the volume of the triangular prism. d. How would the volume be affected by changing all linear dimensions by a factor of 3? Justify your answer. DELL Cc & 4 8. 6. 口
Transcribed Image Text:100% Normal text Verdana 12 B A 2 3 I 4 | 5. I 6. | 7 . 8 I Student Note: For each task: • Analyze the situation(s). • Organize and record your work. • Use precise mathematical language to justify and explain each mathematical process. Surface Area and Volume of 2D/3D Figures 2. A right prism has a base that is an equilateral triangle with an edge of 10 cm. The height of the triangular prism is 12 cm. a. Use the formulas for lateral and total surface area of a prism to determine the lateral and total surface area of the triangular prism to the nearest tenth of a square centimeter. b. How would tripling the height affect the surface area? Justify your answer. c. Use the formula for volume of a prism to determine the volume of the triangular prism. d. How would the volume be affected by changing all linear dimensions by a factor of 3? Justify your answer. DELL Cc & 4 8. 6. 口
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