To build
of 16 cm edge.
number of 4cm edges cube
required is
cubes
Answers
Answered by
0
Answer:
Let n be the number of cubes having edge length 4cm which can be made from a cube of edge length 16cm
Let x be the edge length of smaller cube
.: x=4cm
Let y be the edge length of larger cube
.: y=16cm
Now, to make smaller cubes of edge length 4cm total surface area of larger cube would be equal to n times total surface area of smaller cube.
Total surface area of a cube of edge length= L can be given as T.S.A.=6(L2)
Hence
6(y2)=n×6(x2)
.: 6(y2)/6=(n)(x2)
.: y2=(n)(x2)
.: (16×16)=(n)(4×4)
.: 256=16n
.: n=16
Therefore 16 small cubes of 4cm edge length can be made from 1 large cube having edge length 16cm .
Answered by
1
Answer:
i think 4 cubes r required
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