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of an ice cream cone (the circular he ice cream) is m 12 in2, about 3.14 in2. According to the volume formula for cones, the volume of an ice cream cone is .4.5-3.14 in, about 4.7 in. Since each fluid ounce is 1.8 in3, the number of fluid ounces the cone holds is the number of 1.8 in in 4.7 in which is 4.7 1.8, about 2.6 fluid ounces b. Describe a hands-on activity that could help students understand the distinction between surface area and volume. 5. In your own words, explain why the volume (height)-(area of the base) formula is valid for right prisms using the example of a prism that is 5 cm high and that has a base of area 8 cm2 6. Discuss how to use blocks to explain why the (height).(area of base) formula for the volume of a prism is true (for the case of right prisms where the height and area of the base are whole numbers). In your explanation, be sure to at- tend to the meaning of multiplication, the meaning of volume, and the units you are using. volume 7. A cylindrical container has a base that is a circle of diameter 8 cm. When the container is filled with 250 mL of liquid, the container becomes full. How tall is the container? Explain your reasoning. 8. One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is the radius of the first container. Describe how the water level in the second container compares to the water level in the first container. Be specific and explain your reasoning 9. a. Measure how fast water comes out of some fau-

of an ice cream cone (the circular he ice cream) is m 12 in2, about 3.14 in2. According to the volume formula for cones, the volume of an ice cream cone is .4.5-3.14 in, about 4.7 in. Since each fluid ounce is 1.8 in3, the number of fluid ounces the cone holds is the number of 1.8 in in 4.7 in which is 4.7 1.8, about 2.6 fluid ounces b. Describe a hands-on activity that could help students understand the distinction between surface area and volume. 5. In your own words, explain why the volume (height)-(area of the base) formula is valid for right prisms using the example of a prism that is 5 cm high and that has a base of area 8 cm2 6. Discuss how to use blocks to explain why the (height).(area of base) formula for the volume of a prism is true (for the case of right prisms where the height and area of the base are whole numbers). In your explanation, be sure to at- tend to the meaning of multiplication, the meaning of volume, and the units you are using. volume 7. A cylindrical container has a base that is a circle of diameter 8 cm. When the container is filled with 250 mL of liquid, the container becomes full. How tall is the container? Explain your reasoning. 8. One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is the radius of the first container. Describe how the water level in the second container compares to the water level in the first container. Be specific and explain your reasoning 9. a. Measure how fast water comes out of some fau-

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.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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of an ice cream cone (the circular he ice cream) is m 12 in2, about 3.14 in2. According to the volume formula for cones, the volume of an ice cream cone is .4.5-3.14 in, about 4.7 in. Since each fluid ounce is 1.8 in3, the number of fluid ounces the cone holds is the number of 1.8 in in 4.7 in which is 4.7 1.8, about 2.6 fluid ounces b. Describe a hands-on activity that could help students understand the distinction between surface area and volume. 5. In your own words, explain why the volume (height)-(area of the base) formula is valid for right prisms using the example of a prism that is 5 cm high and that has a base of area 8 cm2 6. Discuss how to use blocks to explain why the (height).(area of base) formula for the volume of a prism is true (for the case of right prisms where the height and area of the base are whole numbers). In your explanation, be sure to at- tend to the meaning of multiplication, the meaning of volume, and the units you are using. volume 7. A cylindrical container has a base that is a circle of diameter 8 cm. When the container is filled with 250 mL of liquid, the container becomes full. How tall is the container? Explain your reasoning. 8. One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is the radius of the first container. Describe how the water level in the second container compares to the water level in the first container. Be specific and explain your reasoning 9. a. Measure how fast water comes out of some fau-
Transcribed Image Text:of an ice cream cone (the circular he ice cream) is m 12 in2, about 3.14 in2. According to the volume formula for cones, the volume of an ice cream cone is .4.5-3.14 in, about 4.7 in. Since each fluid ounce is 1.8 in3, the number of fluid ounces the cone holds is the number of 1.8 in in 4.7 in which is 4.7 1.8, about 2.6 fluid ounces b. Describe a hands-on activity that could help students understand the distinction between surface area and volume. 5. In your own words, explain why the volume (height)-(area of the base) formula is valid for right prisms using the example of a prism that is 5 cm high and that has a base of area 8 cm2 6. Discuss how to use blocks to explain why the (height).(area of base) formula for the volume of a prism is true (for the case of right prisms where the height and area of the base are whole numbers). In your explanation, be sure to at- tend to the meaning of multiplication, the meaning of volume, and the units you are using. volume 7. A cylindrical container has a base that is a circle of diameter 8 cm. When the container is filled with 250 mL of liquid, the container becomes full. How tall is the container? Explain your reasoning. 8. One liter of water is in a cylindrical container. The water is poured into a second cylindrical container whose radius is the radius of the first container. Describe how the water level in the second container compares to the water level in the first container. Be specific and explain your reasoning 9. a. Measure how fast water comes out of some fau-
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