Results 1 to 4 of 4
Like Tree1Thanks
  • 1 Post By MarkFL

Math Help - Help with my Solid Mensuration Problem

  1. #1
    Newbie
    Joined
    Aug 2013
    From
    Philippines, Laguna
    Posts
    8
    Thanks
    1

    Prismatoids (Solid Geometry) Need Help for this Problem

    Bunker Hill Monument is a stone structure in the form of the frustum of a regular square pyramid whose height is 220ft. and whose base edges are 15ft. and 30ft., respectively. Through the center of the monument is a cylindrical opening 11ft. in diameter at the top and 15ft. in diameter at the bottom. Find the volume of the stone in the monument.

    The Answer in the back of the book Solid Mensuration by Kern and Bland is 86,068 cubic feet.
    I don't have a diagram for this. Please help i don't know the solution for this
    Last edited by PhillipMasagca; August 21st 2013 at 07:44 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Help with my Solid Mensuration Problem

    The formula for the volume of a truncated square pyramid is:

    V=\frac{h}{3}\left(a^2+ab+b^2 \right)

    where h is the height, a is the side length of the square base and b is the side length of the square top.

    The formula for a truncated cone is:

    \frac{h\pi}{3}\left(R_1^2+R_1R_2+R_2^2 \right)

    where h is the height, R_1 is the radius of the base and R_2 is the radius of the top.

    Can you proceed?
    Thanks from PhillipMasagca
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2013
    From
    Philippines, Laguna
    Posts
    8
    Thanks
    1

    Re: Help with my Solid Mensuration Problem

    Wait, I think i can't proceed it's because there is no given b (the square top) only the base is given with 15ft. and 30ft.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    1,988
    Thanks
    734

    Re: Help with my Solid Mensuration Problem

    The base sides are 30 ft. and the top are 15 ft.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: May 15th 2013, 08:40 AM
  2. Replies: 3
    Last Post: October 14th 2012, 10:01 AM
  3. Replies: 0
    Last Post: October 14th 2012, 04:20 AM
  4. Replies: 8
    Last Post: June 27th 2010, 03:21 PM
  5. Solid Mensuration
    Posted in the Geometry Forum
    Replies: 0
    Last Post: February 16th 2010, 02:00 PM

Search Tags


/mathhelpforum @mathhelpforum