HOW MANY CUBES OF SIDE 3CM EACH CAN BE CUT FROM WOODEN BLOCK IN THE FORMER OF A CUBOID WHOSE LENGTH,BREADTH AND HEIGHT ARE 21CM,9CM, AND 8CM RESPECTIVELY.HOW MUCH VOLUME OF WOOD IS WASTED?
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Given, length=21 cm, breadth=9cm, height=8cm for wooden block.
Volume of wooden block =l*b*h =21*9*8
=1512 cm^3
Volume of cubes of side 3 cm = side*side*side
=3*3*3= 27 cm^3
No. of cubes that can be formed(n) =volume of wooden cubiod/volume of cubes =1512/27= 56 cubes
Volume of wood wasted =volume of wooden cuboid - (n*volume of cube)
Which is 1512-(56*27)=0
Thus,0 cm^3 of wood is wasted
Volume of wooden block =l*b*h =21*9*8
=1512 cm^3
Volume of cubes of side 3 cm = side*side*side
=3*3*3= 27 cm^3
No. of cubes that can be formed(n) =volume of wooden cubiod/volume of cubes =1512/27= 56 cubes
Volume of wood wasted =volume of wooden cuboid - (n*volume of cube)
Which is 1512-(56*27)=0
Thus,0 cm^3 of wood is wasted
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