A cube of side 8 cm is cut into as many cubes of
side 2 cm as possible. What is the total number of
small cubes and the ratio of the total surface
area
of the original cube to that of the sum of the total
surface areas of the smaller cubes?
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Answer:
64 cubes
Step-by-step explanation:
The volume of a cube of side 8 cm = 8 × 8 × 8 = 512 cm³
Volume of a cube with side 2 cm = 2 × 2 × 2 = 8 cm³
Total no. of cubes = Volume of bigger cube/Volume of smaller cube =
512/8 = 64 cubes
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