11.4: surface area: prisms and cylinders - mrs. … surface area: prisms and cylinders prisms prism...
TRANSCRIPT
![Page 1: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/1.jpg)
11.4: Surface Area: Prisms and Cylinders
![Page 2: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/2.jpg)
Prisms
Prism – A 3-dimensional figure with two congruent, parallel faces, called bases.
Lateral Faces – Faces that are not bases
![Page 3: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/3.jpg)
Surface Area of Prisms
Lateral Area – Sum of the areas of the lateral faces
bases
lateral faces
![Page 4: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/4.jpg)
Surface Area of Prisms
bases
lateral faces
4 in.
Regular Pentagon
![Page 5: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/5.jpg)
Surface Area of Prisms
THEOREM 11.1 – Surface Area of Prism The surface area of a prism is the sum of the lateral area and the area of the two bases.
S.A. = L.A.+ 2B or S.A. = ph + 2B
4 in.
Regular Pentagon
![Page 6: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/6.jpg)
![Page 7: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/7.jpg)
![Page 8: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/8.jpg)
![Page 9: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/9.jpg)
![Page 10: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/10.jpg)
Surface Area of Prisms
Find the surface area of the following prism.
![Page 11: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/11.jpg)
Cylinders
Cylinder – A 3-dimensional figure with two congruent, parallel, circular bases.
![Page 12: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/12.jpg)
Surface Area of Cylinder
THEOREM 11.2 – Surface Area of Cylinder The surface area of a cylinder is the sum of the lateral area and the area of the two bases.
S.A. = L.A.+ 2B or S.A. = 2!rh + 2!r2
![Page 13: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/13.jpg)
![Page 14: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/14.jpg)
![Page 15: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/15.jpg)
![Page 16: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/16.jpg)
![Page 17: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/17.jpg)
Surface Area of Cylinders
Find the surface area of the following cylinder in terms of π. 4 in.
6 in.
![Page 18: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/18.jpg)
Volume of Prisms
4 cm
6 cm
THEOREM 11.6 – Volume of Prism The volume of a prism is the product of the area of a base and the height of the prism.
V = Bh
![Page 19: 11.4: Surface Area: Prisms and Cylinders - Mrs. … Surface Area: Prisms and Cylinders Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral](https://reader034.vdocuments.net/reader034/viewer/2022051321/5adfd6597f8b9a5a668cd00d/html5/thumbnails/19.jpg)
Volume of Cylinders
THEOREM 11.7 – Volume of Cylinder The volume of a cylinder is the product of the area of the base and the height of the cylinder.
V = Bh or V = !r2h
Find the volume of the following cylinder in terms of π.