A) \[640\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\]
B) \[640\,{{m}^{2}};\,\,250\,{{m}^{3}};\,\,30\,m\]
C) \[640\,{{m}^{2}};\,500\,{{m}^{3}};\,\,50\,m\]
D) \[520\,{{m}^{2}};\,\,500\,{{m}^{3}};\,\,27\,m\]
Correct Answer: A
Solution :
Length \[(l)=25\,m,\] breadth \[(b)=10\,m,\] Height\[(h)=2\,m\] Surface area\[=2\,(lb+bh+lh)\] Surface area\[=2\,(25\times 10+10\times 2+25\times 2)\] \[=2\,\text{(}250+20+50\text{)}\] Surface area\[=640\,{{m}^{2}}\] Volume of cuboid\[=l\times b\times h=25\times 10\times 2\] Volume of cuboid\[=500\,{{m}^{3}}\] Length of diagonal\['d'=\sqrt{{{\ell }^{2}}+{{b}^{2}}+{{h}^{2}}}\] \[=\sqrt{{{(25)}^{2}}+{{(10)}^{2}}+{{(2)}^{2}}}=\sqrt{625+100+4}\] \[=\sqrt{729}=27\,m\]
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