A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the
side of the new cube? Also, find the ratio between their surface areas.
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2
Answer:
Volume of old cube =a³
⇒(12)³=1728 cm³
No.of cubes =8
Volume of old cube = 8* volume of 1 new cube
1728=8*a³
1728/8=a³
12/2=a
6 cm=a
Surface area of old cube/ surface area of new cube=6*(12)²/6*(6)²
=144/36=4/1=4:1
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Answer:
here a cube is divided into 8 cubes of a side a cm
given
their volume is equal
the volume of the big cube= volume of 8 cubes of a cm
(side of big cube)³=8x(side of small cube)³
(12)³=8x(a)³
12x12x12=8xa³
1/8x12x12x12=a
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