SOLUTION: The volume of a pyramid is given by the formula: V = Bh / 3 where B is the area of its base and h is its height. The volume of the pyramid is 208 cubic centimeters. Find the d

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The volume of a pyramid is given by the formula: V = Bh / 3 where B is the area of its base and h is its height. The volume of the pyramid is 208 cubic centimeters. Find the d      Log On

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Question 1128540: The volume of a pyramid is given by the formula:
V = Bh / 3
where B is the area of its base and h is its height. The volume of the pyramid is 208 cubic centimeters. Find the dimensions of its rectangular base if one edge of the base is 2 centimeters longer than the other, and the height of the pyramid is 13 centimeters.
other supporting information:
x + 2 is width of one of the bases
x is length of the other base
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

V+=+Bh+%2F+3+
V+=+208cm%5E2
x+%2B+2 is width of one of the bases
x is length of the other base
h=3cm

208+=+%28%28x%2B2%29x%2A13%29+%2F+3+
208+=+%28%28x%2B2%29x%2A13%29+%2F+3+
%283%2A208c%29%2F13+=+%28x%2B2%29x+
48+=+x%5E2%2B2x+
+x%5E2%2B2x-+48=0
+%28x+-+6%29+%28x+%2B+8%29+=+0
we need only positive solution:
+%28x+-+6%29++=+0->x=6
x+%2B+2=8 is width of one of the bases
x=6 is length of the other base