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1、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. Cube- a solid when all six faces are squares.
2、,H,H,W,L,V=lwh, Length(width)(height) V= 7(4)(14)=392ft cubed,5,5,5,V= S3 V= 53 V= 5(5)(5)=125inches cubed,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 f
3、rom the center.,8in,4in,V= pie(r2)(height) V= 3.14(22)(8)=100.48in,6cm.,V= 4/3(pie)(r3) V=4/3(3.14)(63)= 150.72cm,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
4、 of the cube. Example:,5m,20m,20m,20m,V= S3 Pie(r2)(20) V= 203 3.14(52)(20)= V= 8,000m 1,570m= 6,430m3,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 th
5、e 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 meters3,More Practice on Geometric Solids,Rectangular Solid- Cube-,10 ft,5 ft
6、,8 ft,V= lwh V= 10(8)(5)= 140ft3,27 cm,27 cm,27 cm,V= S3 V= 273, 27(27)(27)= 729 cm3,Cylinder and Sphere,Cylinder- What is the volume difference?,Yellow Tube= 6 in tall, radius of 1in. Green Tube= 8.5 in tall, radius of 3in.,Volume= Pie(r2)(h) V= 3.14(1.5)2(6)= 42.39in2 V= 3.14(3)2(8)=226.08in2 V= 226.08 - 42.39in= 183.69 V= 184in3,Sphere-,V= 4/3(pie)(r3)= V=4/3(3.14)(23)= 33.49 in3,2 in,Formulas,THE END,Thank you!,
