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Question
A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.
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Solution
Edge of cube = 4 cm
Volume of 4 cm cube = (4 cm)3 = 64 cm3
Edge of cube = 1 cm
Volume of 1 cm cube = (1 cm)3
∴ Total number of small cubes = `(64 cm^3)/(1 cm^3) = 64`
∴ Total surface area of 64 cm all cubes
= 64 × 6 × (1 cm)2
= 384 cm2
The total surface area of all the small cubes formed by cutting the 4 cm cube into 1 cm edge cubes is 384 cm2.
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