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Task 2: Surface area and volume Use the same pentomino shapes as cross-sections for the prisms (3D) versions shown below - respond to the following questions. a. What is the surface area and volume of each of the five shapes below? b. Create a table to record your answers (shape, surface area, volume - could be your column labels). What do you notice about the volumes of each shape? c. If you were asked to put these shapes together to create a building with the least amount of surface area, what would your strategy be to construct this shape? d. And if you were asked to put these shapes together to create a building with the most surface area, describe your strategy and what the shape might look like in general.

Task 2: Surface area and volume Use the same pentomino shapes as cross-sections for the prisms (3D) versions shown below - respond to the following questions. a. What is the surface area and volume of each of the five shapes below? b. Create a table to record your answers (shape, surface area, volume - could be your column labels). What do you notice about the volumes of each shape? c. If you were asked to put these shapes together to create a building with the least amount of surface area, what would your strategy be to construct this shape? d. And if you were asked to put these shapes together to create a building with the most surface area, describe your strategy and what the shape might look like in general.

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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Task 2: Surface area and volume Use the same pentomino shapes as cross-sections for the prisms (3D) versions shown below - respond to the following questions. a. What is the surface area and volume of each of the five shapes below? b. Create a table to record your answers (shape, surface area, volume - could be your column labels). What do you notice about the volumes of each shape? c. If you were asked to put these shapes together to create a building with the least amount of surface area, what would your strategy be to construct this shape? d. And if you were asked to put these shapes together to create a building with the most surface area, describe your strategy and what the shape might look like in general.
Transcribed Image Text:Task 2: Surface area and volume Use the same pentomino shapes as cross-sections for the prisms (3D) versions shown below - respond to the following questions. a. What is the surface area and volume of each of the five shapes below? b. Create a table to record your answers (shape, surface area, volume - could be your column labels). What do you notice about the volumes of each shape? c. If you were asked to put these shapes together to create a building with the least amount of surface area, what would your strategy be to construct this shape? d. And if you were asked to put these shapes together to create a building with the most surface area, describe your strategy and what the shape might look like in general.
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