Length, Breadth and Depth of a cabodial shaped Swimming pool are x, y, z Units respectively. With the motive of decreasing the size of the well, its length, breadth, depth has been decreased by 1, 2, 3 Units respectively. Find the Volume of the newly formed swimming pool .
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Step-by-step explanation:
volume of cuboid= xyz = v
volume of cuboid of decreased x,y,z = (x-1)(y-2)(z-3)
V= (xy-2x-y+2)(z-3)
V= xyz-2xz-yz+2z-3xy+6x+3y-6
V= v-2xz-yz+2z-3xy+6x+3y-6
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