Question

How many cubes of side 2 cm can be packed in a cubical box with inner side equal to 4 cm

Answer 1

Volume of bigger box = 4 x 4 x 4 = 64 cm³

Volume of smaller box = 2 x 2 x2 = 8 cm³

Required number of cubes = 64/8 = 8

So 8 cubes can be packed

Hope This Helps You!

Answer 2

Assume,
Cube of side 2cm = S1
Cube of side 8 cm = S2

now ,
No. of cubes of size S1 can be packed in a cubical box S2 =$vol^{m} of S2 / Vol ^{m} of S1$

so we have ,
Lenth of each side of cube S2 = s = 4 cm 
⇒$vol^{m} of S2  = [tex] s^{3}$ = $(4)^{3}$ = 64 $cm^{3}$
Lenth of each side of cube S1 = s = 2 cm 
⇒$vol^{m} of S1  = [tex] s^{3}$ = $(2)^{3}$ = 8 $cm^{3}$

⇒No. of cubes of size S1 can be packed in a cubical box S2 = 64 / 8 
                                                                                                 =8 

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