Doubling the Sides of the Cube For the following question > > A cubical block of metal weighs 6 pounds.How much will another cube of the same metal weigh if its sides are twice as long ? Ans=48 Here is how I am solving it but I am getting 12 as the answer For the current cubical block $12$ edges of cube weigh = 6 pounds $1$ edge weighs = $\frac{6}{12} = \frac{1}{2} pound$ Doubled edge would weigh $2 \times \frac {1}{2} = 1$ so 12 edges would weigh $12 \times 1 = 12$

HINT:

1. Write down the volume of a cube with edge length $x$. Think of an aquarium with all sides equal.
2. As 1. with length $2x$.
3. What's the ratio of the volumes?
4. How heavy is the larger cube?