| Column I | Column II |
(p)  | (i) \[836\text{ c}{{\text{m}}^{2}}\] |
(q)  | (ii) \[340\text{ c}{{\text{m}}^{2}}\] |
(r)  | (iii) \[\text{1014 c}{{\text{m}}^{\text{2}}}\] |
(s)  | (iv) \[\text{1287c}{{\text{m}}^{2}}\] |
A) P\[\to \](iii); Q\[\to \](iii); R\[\to \](iv); S\[\to \](i)
B) P\[\to \](ii); Q\[\to \](iv); R\[\to \](i): S\[\to \](iii)
C) P\[\to \](ii); Q\[\to \](iii); R\[\to \](i); S\[\to \](iv)
D) P\[\to \](ii):Q\[\to \](iv);R\[\to \](ii);S\[\to \](i)
Correct Answer: B
Solution :
P. Total surface area \[=2(lb+bh+hl)\] \[=2(10\times 5+5\times 8+8\times 10)\] \[=2(50+40+80)=2\times 170=340c{{m}^{2}}\] Q. Total surface area \[=2\pi r(r+h)\] \[=2\times \frac{22}{7}\times \frac{21}{2}\left( \frac{21}{2}+9 \right)=1287c{{m}^{2}}\] R. We have, \[\pi {{r}^{2}}=154\] \[\Rightarrow \frac{22}{7}\times {{r}^{2}}=154\Rightarrow {{r}^{2}}=49\Rightarrow r=7cm\] \[\therefore \] Surface area \[=2\pi r(r+h)\] \[=2\times \frac{22}{7}\times 7(7+12)=836c{{m}^{2}}\] S. Let \[l\] be the edge of cube. \[\Rightarrow {{l}^{3}}=2197\Rightarrow l=13cm\] Total surface Area \[=6{{l}^{2}}=6{{(13)}^{2}}=1014c{{m}^{2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
