The document discusses volume formulas for different 3D shapes. It provides the formulas to calculate the volume of a rectangular prism, cube, cylinder, cone, and rectangular pyramid. Examples are given to demonstrate how to use the formulas to find the volume of each shape by plugging in the given measurements for length, width, height, radius, etc.

1. Volume Three-Dimensional Objects of

2. Volume Cubic units of measure is used when measuring the volume ( V ). The total number of cubic units it takes to completely fill the space occupied by an object is the volume of that object.

3. Rectangular Prism The volume formula for a rectangular prism is: Volume = length x width x height or V = lwh W H L

4. Rectangular Prism Find the volume where: Length = 4ft Width = 3 ft Height = 2 ft W H L V = lwh = 4ft x 3ft x 2ft = (4x3) x ( 2 ) = 12 x 2 = (12 x 2) =

5. Cubes Find the volume for a cube where s = 3 cm V = s ³ = = 3cm x 3cm x 3cm =

6. Cylinder The volume formula for a cylinder is: Volume = x radius x radius x height

7. Cylinder Find the volume of this cylinder: = 60 cubic meters 2 m 5 m r = 2 m h = 5 m

8. Cone The volume formula for a cone is: Volume = ⅓( π x radius x radius x height) V = ⅓( π x r² x h)

9. Cone Find the volume of this cone: V= ⅓( π r²h) =⅓(3.14 x 3² x 5) =⅓(3.14 x 9 x 5) =⅓(3.14 x 45) =⅓(141.3) =47.1in³ 3 in 5 in

10. Rectangular Pyramid The formula for volume of a rectangular pyramid is: V = ⅓ (length x width x height) V = ⅓ (lwh)

11. Rectangular Pyramid Find the volume of this rectangular pyramid: V= ⅓(lwh) =⅓(3 x 2 x 5) =⅓(6 x 5) =⅓(30) =10cm³ 3 cm 2 cm 5 cm