a rectangular box of length 10cm, width 8 cm and 3 CM find the size of the biggest cube which can be placed inside the box also calculate the number of such box that is unutilized
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Number of cubes =
Volumeofcube
Volumeofcuboid
=
1×1×1
8×4×2
=64
Surface area of cuboid =2×(8×4+4×2+2×8)cm
2
=2×(32+8+16)cm
2
=112cm
2
Surface area of 64 cubes =64×6cm
2
=384cm
2
∴ Required ratio =
384
112
=
24
7
=7:24
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