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發問:

大家可唔可以幫我一下! 1)A frustum formed by removing the square pyramidAPQRS from the square ABCDE.AR=6cm and RD=4cm.If the volume of pyramidAPQRS is 81cm3.find (a)the volume of pyramid ABCDE. (b)the volume of the frustum.

最佳解答:

AR=6cm and RD=4cm so AD = 10cm so AR:AD = 6 : 10 = 3 : 5 a) volume of pyramid APQRS:volume of pyramid ABCDE = (AR : AD)^3 = 27 : 125 so volume of pyramid ABCDE =[ 81 / (27 / 125) ] cm^3= 375 cm^3 b)Volume of the frustum = volume of pyramid ABCDE - volume of pyramid APQRS = (375 - 81 ) cm^3 = 294 cm^3

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