1 . 《九章算术》大约成书于公元一世纪,是我国最著名的数学著作.全书共分为九章,由246道数学与工程应用题汇编,其中第五章“商功”介绍了许多工程体积的计算与人工安排.如介绍了刍甍(音chumeng,底面为矩形的楔形茅草屋脊)如下图1,设刍甍的底面矩形长宽分别为b,c,上脊长为a,高为h,则该刍甍的体积为
.今有一刍童(上下底面为矩形的垛体)如图2,刍童的上底矩形边长分别为
,
,下底矩形边长分别为
,
,高为h,则该刍童的体积为___________ .
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