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... Find the unknown weight to balance each scale.
Each pencil = 3 cubes
? cubes
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cubes.
Weight of the pen =
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Answer:
Volume of cube = Side
3
In this case, side =3 cm
Let us assume side as a
∴ volume of cube =a
3
If side increases by 4 (in our case new side is 12 which is 4 times 3),
then volume of cube with new side as 12 cm =64a
3
i.e., Volume increase by 64 times.
∴ volume of side 12 cm = 64 × Volume of side 3 cm
i.e., Mass of side 12 cm = 64 × Mass of side 3 cm (Because cubes are similar)
∴ the weight of a similar cube of iron whose edge is 12 cm =64×3
3
=768 g
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