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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.

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The Volume of a Geometric Solid

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  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!!

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