Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Draw Design Layout References Mailings Review View A A Aa A EEE 12 AaBbCcDdE AaBbCcDdE AaBbCcDc Aal I U abe X2 x? No Spacing Normal Heading 1 Task 4: Changing Dimensions How would a change in one measurement of an object affect its perimeter, area, surface area, or volume? Would it increase or decrease by the same amount? Would it increase or decrease proportionally? a. A rectangle has a length of 3 inches and a width of 5 inches. How would the perimeter and the area of the rectangle change if one of the dimensions were tripled? How would the perimeter and the area change if both dimensions were halved? Based on these numbers, is it possible to know how the perimeter and the area of any rectangle would change if one dimension were doubled? How about if both were doubled? If it is possible, explain how it would change Type your response here: Triple any of the 2 dimensions for a rectangle with a length if 3 inches and with of 5 inches the perimeter would be the same for both ways you triple it both dimensions are halved then the rectangle would be half the size it originally was one of the dimensions is doubled the perimeter would be 30 inches for both ways if you double one or the other both dimensions are doubled it would be double the perimeter of if you were to only double one side so it would be 60 inches b. In part a you were given specific changes to make to help determine how the perimeter and area of the object would change in a general situation. Use the same system of experimentation to determine how the circumference and the area of a circle would change if its radius were doubled or halved. Type your response here: c. How would the surface area and the volume of a cylinder change if the radius and the height were doubled? How would the surface area and the volume of a cylinder change if the radius was doubled and the height was tripled? Type your response here: 1823 words English (United States) 80 888 F2 F3 DII DD F4 F6 F7 F8 @ $ 2 3 4 5 7 8 吕 < CO W #
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Transcribed Image Text:Draw Design Layout References Mailings Review View A A Aa A EEE 12 AaBbCcDdE AaBbCcDdE AaBbCcDc Aal I U abe X2 x? No Spacing Normal Heading 1 Task 4: Changing Dimensions How would a change in one measurement of an object affect its perimeter, area, surface area, or volume? Would it increase or decrease by the same amount? Would it increase or decrease proportionally? a. A rectangle has a length of 3 inches and a width of 5 inches. How would the perimeter and the area of the rectangle change if one of the dimensions were tripled? How would the perimeter and the area change if both dimensions were halved? Based on these numbers, is it possible to know how the perimeter and the area of any rectangle would change if one dimension were doubled? How about if both were doubled? If it is possible, explain how it would change Type your response here: Triple any of the 2 dimensions for a rectangle with a length if 3 inches and with of 5 inches the perimeter would be the same for both ways you triple it both dimensions are halved then the rectangle would be half the size it originally was one of the dimensions is doubled the perimeter would be 30 inches for both ways if you double one or the other both dimensions are doubled it would be double the perimeter of if you were to only double one side so it would be 60 inches b. In part a you were given specific changes to make to help determine how the perimeter and area of the object would change in a general situation. Use the same system of experimentation to determine how the circumference and the area of a circle would change if its radius were doubled or halved. Type your response here: c. How would the surface area and the volume of a cylinder change if the radius and the height were doubled? How would the surface area and the volume of a cylinder change if the radius was doubled and the height was tripled? Type your response here: 1823 words English (United States) 80 888 F2 F3 DII DD F4 F6 F7 F8 @ $ 2 3 4 5 7 8 吕 < CO W #
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