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Math-2 Lesson 4.3 Volume of Spheres, Cylinders, Cones, Pyramids, and Prisms
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What does “volume” mean?
1 inch 1 inch 1 inch volume = (1 inch)(1 inch)(1 inch) volume = 1 “cubic inch”
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What is the “volume” of the shape?
“how many 1 inch cubes will fit in the shape.” volume = 8 cubic inches This “box” is called a “rectangular prism”.
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What does “volume” mean?
2 inches 2 inches 2 inches volume = (2 inch)(2 inch)(2 inch) volume = 8 “cubic inches”
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What is the “volume” of the prism?
3 inches 2 inches 4 inches volume = (2 inch)(3 inch)(4 inch)
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What is the “volume” of the prism?
What if the base is a triangle? 10 inches 4 inches 3 inches
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What part of the formula gives us the “cubic” units?
The volume of a sphere is….? 6 inches What part of the formula gives us the “cubic” units?
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The volume of a sphere is….?
5.2 inches
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The volume of a cylinder is….?
8 inches 10 inches Do you notice something familiar with this formula? What part of the formula gives us cubic units?
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What part of the formula gives us the “cubic” units?
The volume of a cone is….? 4 inches 6 inches What part of the formula gives us the “cubic” units?
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The volume of a pyramid is….?
6 inches Depends upon the area of the base. 5 in 4 in What part of the formula gives us cubic units?
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What is the volume of a cylindrical tank with a hemispherical top?
28 feet What is the volume of a cylindrical tank with a hemispherical top? Should I add to get total volume or multiply to get total volume? 32 feet
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How many gallons are in the tank?
28 feet Each cubic foot of water inside the tank is about 7.5 gallons. 𝟏 𝒇𝒕 𝟑 =𝟕.𝟓 𝒈𝒂𝒍 32 feet Which ratio should I multiply by to get rid of 𝑓𝑡 3 ? Unit conversion is multiplication by… 1 What does 1 𝑓𝑡 𝑔𝑎𝑙 equal? 1 1 What does 7.5 𝑔𝑎𝑙 1 𝑓𝑡 3 equal?
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What is the volume of the obelisk?
3 feet 2 ft 2 ft 12 feet
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What is the weight of the obelisk?
3 feet 2 ft The weight of each cubic foot of stone used to build the obelisk is 170 lbm. 2 ft 12 feet
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What is the weight of the obelisk in tons?
3 feet 2 ft 2 ft 12 feet
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