Question 1112479: A large rectangular block of steel is melted down and cast into moulds producing 8 smaller singular rectangular blocks. If the surface area of each smaller block is 1.2 m Squared, calculate the surface area of the original block.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
I will assume you mean the smaller blocks are similar to the original. "singular" has no meaning; "similar" makes a reasonable math problem.
In any two similar figures, if the ratio of linear measurements (scale factor) is a:b, then the ratio of area measurements is a^2:b^2, and the ratio of volume measurements is a^3:b^3.
In this problem, we know the ratio of volumes is 1:8; that means the scale factor is 1:2, and the ratio of areas is 1:4. So if the surface area of each of the smaller blocks is 1.2 square meters, then the surface area of the original block is 4*1.2 = 4.8 square meters.
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