CK-12 Geometry Concepts

(Elliott) #1

http://www.ck12.org Chapter 11. Surface Area and Volume


3.yis the ___________.


  1. The height is ____.

  2. The base is ___.

  3. The base edge is ____.


Find the area of a lateral face and the volume of the regular pyramid. Leave your answer in simplest radical form.


7.
8.

Find the surface area and volume of the regular pyramids. Round your answers to 2 decimal places.


9.
10.


  1. Aregular tetrahedronhas four equilateral triangles as its faces. Find the surface area of a regular tetrahedron
    with edge length of 6 units.

  2. Using the formula for the area of an equilateral triangle, what is the surface area of a regular tetrahedron, with
    edge lengths?


For questions 13-15 consider a square with diagonal length 10



2 in.


  1. What is the length of a side of the square?

  2. If this square is the base of a right pyramid with height 12, what is the slant height of the pyramid?

  3. What is the surface area of the pyramid?


Aregular tetrahedronhas four equilateral triangles as its faces. Use the diagram to answer questions 16-19.



  1. What is the area of the base of this regular tetrahedron?

  2. What is the height of this figure? Be careful!

  3. Find the volume. Leave your answer in simplest radical form.
    19.ChallengeIf the sides are lengths, what is the volume?


Aregular octahedronhas eight equilateral triangles as its faces. Use the diagram to answer questions 20-22.



  1. Describe

  2. Find the volume. Leave your answer in simplest radical form.
    22.ChallengeIf the sides are lengths, what is the volume?

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