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Pyramide-shaped gift boxes have square bases that measure 5 inches on each side.The slant height is 6.5 inches.How much cardboard is used to make each box?

Verified Answer :

  1. square base area= 25 inches

    2. using the slanted 6.5
    =1/2base , therefore 5/2=2.5 inches

    3. then use pythagoras.... c=6.5, a=2.5
    c^2=a^2 + b^2
    (do this urself)

    4. when u find what b is... that's the height of one of the triangle
    base= 2.5 (look at step 2 if u don't understand this bit)
    height=b (refer to step 3)

    5. then work out the area of 1 triangle using that...
    6. then have (the answer u work out in step 5 ) multiply 4
    this will give u the area for the all of the 4 triangles...

    7. Then add together the square based area in step 1..(25)
    to the 4 triangular, area faces (i.e from step 6) - the total will be ur answer for the amount of cardboard!!

    p.s don't forget the units!!!