A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.
Answers
Given : Edge of cube = 4 cm
Volume of cube , V = edge³
V = 4³
V = 64 cm³
After cutting , edge of a small cube = 1 cm
Volume of small cube , v = 1³
v = 1 cm³
Number of small cubes formed = 64/1 = 64
Total surface area of 64 small cubes = 64 × 6a²
= 64 × 6
= 384 m²
Hence ,the total surface area of 64 small cubes is 384 m²
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Given :
- Edge of cube = 4 cm
Formula used:Volume of cube = edge³
Solution:
volume of cube= 4³
= 64 cm³
After cutting ,
edge of a small cube = 1 cm
Volume of small cube = 1³
= 1 cm³
Number of small cubes formed = 64/1 = 64
Total surface area of 64 small cubes = 64 × 6a²
=>64 × 6
=> 384 m²