一道sat2数学题the plane whose equation is 6x+5y+10z=30 forms a pyramid in the first octant with the coordinate planes.its volume is A 15 B.21 C 30 D.36 E.45主要是octant 看不懂

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一道sat2数学题theplanewhoseequationis6x+5y+10z=30formsapyramidinthefirstoctantwiththecoordinateplanes.its

一道sat2数学题the plane whose equation is 6x+5y+10z=30 forms a pyramid in the first octant with the coordinate planes.its volume is A 15 B.21 C 30 D.36 E.45主要是octant 看不懂
一道sat2数学题
the plane whose equation is 6x+5y+10z=30 forms a pyramid in the first octant with the coordinate planes.its volume is
A 15 B.21 C 30 D.36 E.45
主要是octant 看不懂

一道sat2数学题the plane whose equation is 6x+5y+10z=30 forms a pyramid in the first octant with the coordinate planes.its volume is A 15 B.21 C 30 D.36 E.45主要是octant 看不懂
卦限,象限吧
这个坐标平面的方程是6x+5y+10z=30 ,它与其它坐标构成一个棱锥体,求其体积.
坐标图(无法上传图片)是一个在坐标轴正半轴的直棱锥,过点(5,0,0),(0,6,0),(0,0,3)底面直角三角形是15,高是3,因此体积是15

the first octant 是第一卦限
平面6x+5y+10z=30与坐标轴在第一卦限所围成的锥体的体积是多少?
显然和x,y,z轴的交点是(5,0,0),(0,6,0),(0,0,3),
因此体积是V=5*6/2*3/3=15

octant是45度的方向。
我想你应该懂了。

卦限

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