Question #110559
the diagram shows a water container in the form of an inverted pyramid ,which is such that when the height of the water level is h cm the surface of the water is a square of side 1/2 h cm
1)express the volume of water in the container in term of h.
{note . the volume of a pyramid having a base area A and vertical height h is 1/3Ah
1
Expert's answer
2020-04-20T18:10:13-0400

Answer:112h3\frac1{12}h^3

Formula  of  volume:  V=  13×A×hFormula  of  area  of  square:A=side×side=12h  ×  12h  =  14h2V=13×A×h=13×14h2×h=112h3Formula\;of\;volume:\;V=\;\frac13\times A\times h\\Formula\;of\;area\;of\;square:\\A=side\times side=\frac12h\;\times\;\frac12h\;=\;\frac14h^2\\V=\frac13\times A\times h=\frac13\times\frac14h^2\times h=\frac1{12}h^3


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