11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent,...

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11.2 and 11.4: Prisms and Cylinders

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Transcript of 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent,...

Page 1: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

11.2 and 11.4: Prisms and Cylinders

Page 2: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Prisms

Prism – A 3-dimensional figure with two congruent, parallel faces, called bases.

Lateral Faces – Faces that are not bases

Page 3: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Prisms

Lateral Area – Sum of the areas of the lateral faces

bases

lateral faces

Page 4: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Prisms

bases

lateral faces

4 in.

12 in.

RegularPentagon

Page 5: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Prisms

THEOREM 11.1 – Surface Area of PrismThe 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.12 in

.

RegularPentagon

Page 6: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Prisms

Find the surface area of the following prism.

Page 7: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Cylinders

Cylinder – A 3-dimensional figure with two congruent, parallel, circular bases.

Page 8: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Cylinder

THEOREM 11.2 – Surface Area of CylinderThe 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.2rh 2r2

Page 9: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Surface Area of Cylinders

Find the surface area of the following cylinder in terms of π. 4 in.

6 in.

Page 10: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Volume of Prisms

4 cm

6 cm

12 cm

THEOREM 11.6 – Volume of PrismThe volume of a prism is the product of the area of a base and the height of the prism.

V Bh

Page 11: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

Volume of Cylinders

THEOREM 11.7 – Volume of CylinderThe 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.

Page 12: 11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

11.2 and 11.4: Prisms and Cylinders

Homework:

p.612 #5-11

p.627 #4-6, 8-10, 15


Prisms manufacturer

Prisms manufacturer

Hexagonal Prisms

Hexagonal Prisms

Common Development of Prisms, Anti-Prisms, Tetrahedra, …erikdemaine.org/Papers/CommonUnfolding_CCCG2017/Paper.pdfCommon Development of Prisms, Anti-Prisms, Tetrahedra, and Wedges

Common Development of Prisms, Anti-Prisms, Tetrahedra, …erikdemaine.org/Papers/CommonUnfolding_CCCG2017/Paper.pdfCommon Development of Prisms, Anti-Prisms, Tetrahedra, and Wedges

Ophthalmic prisms

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Volume of Prisms - Pittsford Schools / Pittsford Schools Home...Volume of Prisms Definition of a prism – A prism is a polyhedron that has two parallel bases. The other faces (sides)

Volume of Prisms - Pittsford Schools / Pittsford Schools Home...Volume of Prisms Definition of a prism – A prism is a polyhedron that has two parallel bases. The other faces (sides)

Prisms. A prism has two parallel faces, called bases, that are congruent polygons. The lateral faces are rectangles in a right prism, or parallelograms.

Prisms. A prism has two parallel faces, called bases, that are congruent polygons. The lateral faces are rectangles in a right prism, or parallelograms.

Volume of Right Prisms with Polygon Faces. Right Prisms Any prism that has two polygon faces that are parallel is considered a right prism. They are named.

Volume of Right Prisms with Polygon Faces. Right Prisms Any prism that has two polygon faces that are parallel is considered a right prism. They are named.

PRISMS 4-Jahres-Ergebnisse PRISMS : Prevention of Relapses and Disability by Interferon-beta 1a subkutaneously in Multiple Sclerosis PRISMS Study Group.

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Paper Models of Prisms - Paper PolyhedraPaper Models of Prisms Gijs Korthals Altes

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11.4 Volumes of Prisms and Cylinders

11.4 Volumes of Prisms and Cylinders

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

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

Prisms Lab

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Mobility of a class of perforated polyhedraeprints.whiterose.ac.uk/98664/1/Perforated_IJSS_Revised.pdfparent polyhedron). The prisms with all faces even and all barrels are found The

Mobility of a class of perforated polyhedraeprints.whiterose.ac.uk/98664/1/Perforated_IJSS_Revised.pdfparent polyhedron). The prisms with all faces even and all barrels are found The

Use of Peli prisms to expand visual field and prisms …...Use of Peli prisms to expand visual field and prisms to support reading and avoid diplopia (double vision) Dr. Karthikeyan

Use of Peli prisms to expand visual field and prisms …...Use of Peli prisms to expand visual field and prisms to support reading and avoid diplopia (double vision) Dr. Karthikeyan

REFLECTING PRISMS - · PDF fileSOKKIJ\ REFLECTING PRISMS L For the ultima te in accuracy and versatility in fjeld applications AP Series Compact Prism Mini Prisms Retlecting prisms

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AD574A (Rev. B) - Mixed-signal and digital signal ...€¦ · CC +11.4 +16.5 +11.4 +16.5 +11.4 +16.5 Volts V EE –11.4 –16.5 –11.4 –16.5 –11.4 –16.5 Volts Operating Current

AD574A (Rev. B) - Mixed-signal and digital signal ...€¦ · CC +11.4 +16.5 +11.4 +16.5 +11.4 +16.5 Volts V EE –11.4 –16.5 –11.4 –16.5 –11.4 –16.5 Volts Operating Current

The two shaded faces of the prisms shown are its bases An altitude of a prism is a segment joining the two base planes and perpendicular to both The faces.

The two shaded faces of the prisms shown are its bases An altitude of a prism is a segment joining the two base planes and perpendicular to both The faces.

PRISMS Training

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