How many small cubes, each of 96 cm $^{2}$ surface area, can be formed from the material obtained by melting a larger cube of 384 cm $^{2}$ surface area ?

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Solution

The correct option is A 8
Surface area of cube $= 6 \times (e d g e)^{2}$
Hence, edge of the larger of cube $= 8 c m$
edge of the smaller cube $= 4 c m$
$∴$ Number of cubes $= \frac{V o l u m e o f l a r g e r c u b e}{V o l u m e o f s m a l l e r c u b e}$
$= \frac{8^{3}}{4^{3}} = 8$

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How many small cubes, each of 96 cm2 surface area, can be formed from the material obtained by melting a larger cube of 384 cm2 surface area ?

The correct option is A 8Surface area of cube =6×(edge)2Hence, edge of the larger of cube =8cmedge of the smaller cube =4cm∴ Number of cubes =VolumeoflargercubeVolumeofsmallercube=8343=8

How many small cubes, each of 96 cm $^{2}$ surface area, can be formed from the material obtained by melting a larger cube of 384 cm $^{2}$ surface area ?

The correct option is A 8
Surface area of cube $= 6 \times (e d g e)^{2}$
Hence, edge of the larger of cube $= 8 c m$
edge of the smaller cube $= 4 c m$
$∴$ Number of cubes $= \frac{V o l u m e o f l a r g e r c u b e}{V o l u m e o f s m a l l e r c u b e}$
$= \frac{8^{3}}{4^{3}} = 8$