SOLUTION: a metal cube of side 4 cm is melted and recast into a rectangular block of dimensions 8 cm x 4 cm x 2 cm. find the percentage increase in the total surface area

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Question 1085830: a metal cube of side 4 cm is melted and recast into a rectangular block of dimensions 8 cm x 4 cm x 2 cm. find the percentage increase in the total surface area
Answer by josmiceli(19441) About Me  (Show Source):
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The surface area of the cube is:
+4%2A4%2A6+=+96+ cm2
( 6 4x4 faces )
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The surface area of the rectangular block is:
+8%2A4%2A2+%2B+2%2A4%2A2+%2B+8%2A2%2A2+
( 2 8x4 faces, 2 2x4 faces, 2 8x2 faces )
+64+%2B+16+%2B+32+=+112+
+112+-+96+=+16+ cm2 increase in surface area
+%2816%2F96%29%2A100+=+16.67+
16.67% increase