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.
有條數,諗好耐都唔識
2007-07-15 2:54 am
回答 (1)
2007-07-15 3:49 am
✔ 最佳答案
AR=6cm and RD=4cmso 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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