A cuboid has width 6 units, height 11 units and length 9 units. If you had to construct a cube of integer sides that has a larger volume than the cuboid, what would the smallest length of the edge of the cube be?
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Answer:
Dimension of the cuboid is l=6cm,b=4cm,h=2cm
∴Volume of the cuboid=l×b×h=6×4×2=48cm
3
Dimension of the cube=2cm
Volume of the cube of side=(side)
2
=(2)
3
=8cm
3
∴Number of cubes=
volumeofthecube
Volumeofthecuboid
=
8
48
=6
Hence 6 cubes can be cut from this cuboid.
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