1 / 9

The Volume of a Geometric Solid

The Volume of a Geometric Solid. By Tyrissa Schroeder Pages: 529-537. Volume of Rectangular and Cubes Prisms. Volume- is the number of cubic units required to fill a 3-demenisional figure . Rectangular Solid- is a solid in which all six faces are rectangles.

adele-madden
Download Presentation

The Volume of a Geometric Solid

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Volume of a Geometric Solid By Tyrissa Schroeder Pages: 529-537

  2. Volume of Rectangular and Cubes Prisms • Volume- is the number of cubic units required to fill a 3-demenisional figure. • Rectangular Solid- is a solid in which all six faces are rectangles. • Cube- a solid when all six faces are squares. V=lwh, Length(width)(height) V= 7(4)(14)=392ft cubed H H L W V= S^3 V= 5^3 V= 5(5)(5)=125inches cubed 5 5 5

  3. More Geometric Solids • Cylinder- is a solid in which the bases are the circles and are perpendicular to the height. • Sphere- is a three dimensional figure made up of all points a given distance from the center. 4in V= pie(r^2)(height) V= 3.14(2^2)(8)=100.48in 8in V= 4/3(pie)(r^3) V=4/3(3.14)(6^3)= 150.72cm 6cm.

  4. Composite Solids • To find the volume of a solid with a missing center such as a cube with a cylinder deleted from the center, you will find the volume of the cube then subtract the volume of the cube. Example: V= S^3 – Pie(r^2)(20) V= 20^3 – 3.14(5^2)(20)= V= 8,000m – 1,570m= 6,430m^3 5m 20m 20m 20m

  5. Word Problem • A delivery truck is 3.5 meter long and 2.5 meter wide and 2 meter high.( not including the cab) Has a large box that is 1.5 meters long, 1.4 meters wide and 1.1 meters tall. What is the Volume of the space remaining in the truck? • Solution: Find the Volume of the truck then find the volume of the box and subtract. Truck Volume= lwh, 3.5(2.5)(2)= 17.5 Box Volume = lwh, 1.5(1.4)(1.1)= 2.31 17.5 – 2.31=15.19 meters^3

  6. More Practice on Geometric Solids • Rectangular Solid- • Cube- 10 ft V= lwh V= 10(8)(5)= 140ft^3 5 ft 8 ft V= S^3 V= 27^3, 27(27)(27)= 729 cm^3 27 cm 27 cm 27 cm

  7. Cylinder and Sphere • Cylinder- What is the volume difference? Volume= Pie(r^2)(h) V= 3.14(1.5)^2(6)= 42.39in^2 V= 3.14(3)^2(8)=226.08in^2 V= 226.08 - 42.39in= 183.69 V= 184in^3 Yellow Tube= 6 in tall, radius of 1in. Green Tube= 8.5 in tall, radius of 3in. Sphere- 2 in V= 4/3(pie)(r^3)= V=4/3(3.14)(2^3)= 33.49 in^3

  8. Formulas

  9. THE END Thank you!!

More Related