Easy mathematics

2012-01-22 6:40 pm
A metal cube with side 6cm is melted and recast into a cuboid with length 9cm and width 8cm.Find the increase in the total surface area.

回答 (1)

2012-01-22 8:49 pm
✔ 最佳答案
Total volume of the cube:
=6 x 6 x 6
=216cm³

Same volume for the recast cuboid
so the height will be
=216 / (8 x 9)
= 3cm

Total surface area of the cube
= 6 x 6 cm² x 6
= 216 cm²

Total suface of the recast cuboid
= 9 x 8 cm² x 2 + 3 x (9 + 8) x 2
= 246 cm²

So the increase in surface area
= 246 - 216cm²
= 30cm²


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