Question:

A ramp must be at least 3 ft wide and extend at least 12 in. horizontally for every inch it rises vertically..

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a. how long must a ramp be if it reaches a step that is 2 1/4 ft. above the ground???

b. find the minimum amount of cement needed to make a ramp up to a step that is 2 1/4 ft. high??

can you please help me figure out a and b thanks alot :)

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4 ANSWERS


  1. a. 2 1/4 ft = 27 inches

    so the length is 27 ft

    b. volume =area* w = 1/2* L*H*W

    volume = 1/2*27*2 1/4*3 = 91.125 cu ft

    or 3.375 cu yds of cement


  2. I second the 27 foot ramp and 3.25 cubic yards of cement ( Actually it is precisely 3.375 cubic yards).

    EDIT:

    The guy above me forgot to divide his volume by 2. Which would also give you 3.375

  3. The ramp must be 27.125 feet long.  Yhe amount of cement needed to fill it up if you were pouring it as a solid structure would be 3.25 cubic yards

  4. 2 and 1/4 feet equal 27 inches it needs to rise

    since it rises 12 inches for each inch up 12 * 27 = 324 inches or 27 feet.

    b since this would be a triangle the volume would be l*w*h *1/2

    1yard*9 yards*.75yards=6.75 cubic yards of cement

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