since the areas of the cut-off part and the entire pyramid is 64/100, the heights are in the ratio 8:10 = 4/5
That means that the cut-off part has height 1/5 that of the whole pyramid.
Now you can use that to find the height desired.
The volume of a frustum of a pyramid having an upper base area of 1000 m² and of lower base of 64 m² is 4066 m³. Find the altitude of the frustum of the Pyramid
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