Question

1.A 4 cm edge cube is cut into small be each
of edge I cm. Calculate the total area
of small cubes. Also find the total
surface area of large cube to that of the small
cubes
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Answer 1

$\huge{\underline{\underline{\sf{\red{Required\:Answer:}}}}}$

For smαll cube

Length of edge (α) = 1 cm

${\therefore}$ Total surfαce αreα = 6α²

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 6 (1)² = 6 cm²

For lαrge cube

Length of edge (α`) = 4 cm

${\therefore}$ Total surfαce αreα = 6α`²

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 6 (4)² = 96 cm²

${\therefore}$ Rαtio of totαl surfαce αreα of lαrge cube to thαt of the smαll cube

⠀⠀⠀⠀⠀⠀⠀$\displaystyle{\rm{= \frac{Total\:surface\:area\:large\:cube}{Total\:surface\:area\:of\:small\:cube}}}$

⠀⠀⠀⠀⠀⠀⠀$\displaystyle{\rm{= \frac{96}{6} = \frac{16}{1} = 16:1 }}$

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Answer 2

Answer is 16:1 ..............