The internal dimensions of box are 1.2m 80cm and 50cm.how many cubes each of edge 7cm can be packed in the box with faces parallel to the sides of the box .also, find the space left empty in the box
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Given dimensions of the cuboid are 1.2m(120cm),80cm,50cm.
Let us find volume of cuboid
volume of cuboid = l×b×h
= 120×80×50
= 480000cm^3
Now find the volume of cube
we know volume of cube = (side)^3
substituting side = 7cm,we get
volume=343cm^3
Now to find how many cubes can be packed in the box(cuboid ),Let us divide volume of cuboid by volume of cube
=480000÷343
=nearly 1399.41
Hence 1399 can be fitted into the box
Let us find volume of cuboid
volume of cuboid = l×b×h
= 120×80×50
= 480000cm^3
Now find the volume of cube
we know volume of cube = (side)^3
substituting side = 7cm,we get
volume=343cm^3
Now to find how many cubes can be packed in the box(cuboid ),Let us divide volume of cuboid by volume of cube
=480000÷343
=nearly 1399.41
Hence 1399 can be fitted into the box
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