A) 420 sq. cm
B) 452 sq. cm
C) 451 sq. cm
D) 483 sq. cm
Correct Answer: A
Solution :
Inner dimensions are \[10-2,\text{ }8-2\]and \[5-1\]i.e., \[8\text{ }cm.,6\text{ }cm.\]and\[4\text{ }cm\]. \[\therefore \] Outer surface \[=10\times 8+2\times 5(10+8)\] \[=80+180=260\,c{{m}^{2}}\] and inner surface \[=8\times 6+2\times 4(8+6)\] \[=48+112=160\,c{{m}^{2}}\] \[\therefore \] Total surface area of the box \[=260+160=420\text{ }c{{m}^{2}}\]
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