Results 1 to 3 of 3

Math Help - Vectors

  1. #1
    Jan 2007


    (OSTP is the front of the cube incase you view it differently)

    A marble base for a statue is formed from a cube of side 7m. Is is placed relative to coordinates axes as shown in the diagram.
    A B and C divide ST UT and PT respectuvely, in ration 3 : 4.

    a) Find the coordinates of A, B, C
    I've done this part:
    A(3,0,7) B(7,4,7) C(7,0,3)

    b) If the corner of the cube is cut off along the plane defined by ABC find the surface area of the block.

    The initial surface area (hopefully) should be: 7 x7 x 6 = 294
    I tried finding the area of the 3 triangles (ACT) (ABT) (BTC) and subtract 294 by this but its wrong and don't know what to try next.

    Please help, thanks.

    Answer = 283.86m^2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    May 2006
    Lexington, MA (USA)
    Hello, r_maths!

    You're that close to the correct answer . . .

    The surface area of the original cube is: .6 7 = 294 m.

    When that corner is sliced off, we lose three isosceles right triangles
    . . Each has 4m legs and an area of 8 m.

    Then we gain an equilateral triangle with side 4√2 m.
    . . Its area is: 8√3 m.

    The final surface area is: .294 - 3(8) + 8√3 . .283.86

    Follow Math Help Forum on Facebook and Google+

  3. #3
    Jan 2007
    Thanks you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 15th 2011, 05:10 PM
  2. Replies: 3
    Last Post: June 30th 2011, 08:05 PM
  3. Replies: 2
    Last Post: June 18th 2011, 10:31 AM
  4. [SOLVED] Vectors: Finding coefficients to scalars with given vectors.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 23rd 2011, 12:47 AM
  5. Replies: 4
    Last Post: May 10th 2009, 06:03 PM

Search Tags

/mathhelpforum @mathhelpforum