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Surface Areas of Polygon Prisms: Notes on Lateral & Total, Slides of Analytical Geometry and Calculus

Greater Johnstown Career and Technology CenterAnalytical Geometry and Calculus

Instructions and formulas for calculating the lateral and total surface areas of various prism shapes, including rectangular, triangular, trapezoidal, and pentagonal or hexagonal prisms. It covers the steps for determining the number of lateral faces, finding the area of each lateral face, and calculating the total surface area.

What you will learn

  • What is the formula for finding the total surface area of a triangular prism?
  • How do you find the lateral surface area of a rectangular prism?
  • How do you determine the number of lateral faces in a hexagonal prism?

Typology: Slides

2021/2022

Uploaded on 09/12/2022

hayley
hayley 🇺🇸

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12.1 Notes Date: ____________________________
Reminders from last chapter:
Polygon
Area Formula
Polygon
Area Formula
Triangle
Rectangle
Equilateral triangle
Parallelogram
Trapezoid
Square
Regular polygon
Circle
Three dimensions:
Solids
Surface areas of prisms:
Polyhedra
Prism
Bases
Lateral edges
pf3
pf4
pf5
pf8

Partial preview of the text

Download Surface Areas of Polygon Prisms: Notes on Lateral & Total and more Slides Analytical Geometry and Calculus in PDF only on Docsity!

12.1 Notes Date: ____________________________ Reminders from last chapter: Polygon Area Formula Polygon Area Formula Triangle Rectangle Equilateral triangle Parallelogram Trapezoid Square Regular polygon Circle Three dimensions: Solids Surface areas of prisms: Polyhedra Prism Bases Lateral edges

Lateral faces Examples of prisms: Lateral surface area How to find lateral surface area:

  1. Determine how many ______________________________ ________________________ of a prism.
  2. Find the __________________________________ of each lateral face.
  3. Find the __________________________________ of each lateral face.
  4. _______________________ areas of the faces to determine _______________________ ___________________ _______________________. Total surface area How to find total surface area:
  5. Find ________________________________ ______________________________ _____________________.
  6. Find the __________________________________ of a base.
  7. Find the __________________________________ of one base and multiply by two.
  8. _______________________ lateral surface area and the area of the two bases to determine __________________ ___________________________ _______________________.

Trapezoidal Prism Sketch of Lateral Faces Sketch of Bases Total Lateral Area Total Surface Area Pentagonal Prism Sketch of Lateral Faces Sketch of Bases Total Lateral Area Total Surface Area Hexagonal Prism Sketch of Lateral Faces Sketch of Bases Total Lateral Area Total Surface Area

Name:______________________________________________ Period: ____________ Date: _____________________ Group Members: ____________________________________________________________________________________ 12.1 Worksheet

  1. Given the rectangular prism: a. Find the lateral surface area. b. Find the total surface area.
  2. Given the triangular prism: a. Find the lateral surface area. b. Find the total surface area.
  1. Given the cube, find the total surface area.
  2. Given the trapezoidal prism: a. Find the lateral surface area. b. Find the total surface area.
  1. Given the hexagonal prism: a. Find the lateral surface area. b. Find the total surface area.
  2. A prism has bases that are congruent equilateral triangles with sides of length 6 cm. The height of the prisms is 8 cm. Find its surface area, to the nearest square centimeter.
  3. The bases of a prism are trapezoids with parallel sides of length 10 in. and 22 in. Each of the nonparallel sides of the bases has length 10 in. The height of the prism is 11 in. Sketch one trapezoidal base of the prism and use the Pythagorean Theorem to find the height of the trapezoid. The find the surface area of the prism.