Surface area prisms and cylinders
This presentation is the property of its rightful owner.
Sponsored Links
1 / 17

SURFACE AREA Prisms and Cylinders PowerPoint PPT Presentation


  • 67 Views
  • Uploaded on
  • Presentation posted in: General

SURFACE AREA Prisms and Cylinders. Section 6-2. Prism. A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are called lateral faces. Prisms. Altitude (height) – perpendicular segment that joins the planes of the bases

Download Presentation

SURFACE AREA Prisms and Cylinders

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Surface area prisms and cylinders

SURFACE AREAPrisms and Cylinders

Section 6-2


Prism

Prism

  • A polyhedron with two congruent parallel bases

  • Named by the shape of the bases

  • The other faces are called lateral faces


Prisms

Prisms

  • Altitude (height) – perpendicular segment that joins the planes of the bases

    Right Prism – the lateral faces are rectangles. All prisms are right unless otherwise stated.


Prisms1

Prisms

Lateral Face

Bases

Lateral edge


Prisms2

Prisms

  • Lateral Area (LA)

    • Sum of the areas of the lateral faces

    • Product of perimeter of base and height

  • Surface Area (SA)

    • Total area of the entire prism

    • Sum of lateral area (LA) and Bases (B)


Prism formulas

Prism Formulas

  • LA = ph

  • SA = LA + 2B

Area of the base


Cylinders

CYLINDERS

  • Is like a prism but the bases are circles

  • Altitude (height) – Perpendicular segment that joins the planes of the bases


Cylinder formulas

Cylinder Formulas

  • Lateral Area (LA)– product of circumference of the base and the height. (soup can label)

  • Surface Area (SA) – sum of the lateral area and the area of the bases.


Cylinder formulas1

Cylinder Formulas

  • LA = πdh

  • SA = LA + 2B

  • SA = πdh + 2πr2


Find la and sa

Find LA and SA


Find la and sa1

Find LA and SA


Find la and sa2

Find LA and SA


Find la and sa3

Find LA and SA


Word problem

Word Problem

  • The wheel of steamroller is a cylinder with a diameter of 5’ and width of 7.2’. How many square feet does a single revolution of the wheel cover


Word problem1

Word Problem

  • The surface area of a cylinder is 80π in2, the radius is 4 in. Find the height of the cylinder.


Word problem2

Word Problem

  • A cylindrical storage tank with a radius of 15’ and height of 45’ is to be painted. 1 gallon of paint will cover 100 square feet of surface. How many gallons are needed for 2 coats of paint.


Word problem3

Word Problem

  • A right triangular prism has a height of 5 cm, its base is an equilateral triangle with a side of 2 cm. Find the LA and SA


  • Login