Math-2 Lesson 4.3 Volume of Spheres, Cylinders, Cones, Pyramids, and Prisms

What does “volume” mean? 1 inch 1 inch 1 inch volume = (1 inch)(1 inch)(1 inch) volume = 1 “cubic inch”

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”.

What does “volume” mean? 2 inches 2 inches 2 inches volume = (2 inch)(2 inch)(2 inch) volume = 8 “cubic inches”

What is the “volume” of the prism? 3 inches 2 inches 4 inches volume = (2 inch)(3 inch)(4 inch)

What is the “volume” of the prism? What if the base is a triangle? 10 inches 4 inches 3 inches

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?

The volume of a sphere is….? 5.2 inches

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?

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?

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?

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

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 3 7.5 𝑔𝑎𝑙 equal? 1 1 What does 7.5 𝑔𝑎𝑙 1 𝑓𝑡 3 equal?

What is the volume of the obelisk? 3 feet 2 ft 2 ft 12 feet

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

What is the weight of the obelisk in tons? 3 feet 2 ft 2 ft 12 feet