A cubical wooden block of length 12 cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.
( answer is 6 cm)
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A cubical wooden block of length 12 cm is cut into 8 equal cubical pieces. Find the length of edge of each piece.
( answer is 6 cm)
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Dear Student,
● Answer -
Length of edge of each cube is 6 cm.
◆ Explaination -
[Look at the figure for better understanding.]
When cube is cut into 8 equal pieces,
Volume of bigger cube = sum of volumes of smaller cubes
L^3 = n × l^3
12^3 = 8 × l^3
1728/8 = l^3
l^3 = 216
Taking cube root,
l = 6 cm
Hence, Length of edge of each cube is 6 cm.
Thanks dear. Hope this helps you...