Debbie needs to fill juice cup for her little brothers birthday party. There are 20 juice cups and each juice cup holds 10 fluid
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A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
<u>It is assumed that weight of pyramid is proportional to its volume.</u>
So, , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is,
So, weight of original pyramid,
Volume of small pyramid is,
So, weight of small pyramid,
<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>
So,
Substituting value of a in equation
So,
Since, , substitute in above equation.
So,
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