A wooden box of dimension \[8m\times 7m\times 6m\] is to carry rectangular boxes of dimensions \[8cm\times 7cm\times 6cm.\]The maximum number of boxes that can be carried in 1 wooden box is [SSC (CPO) 2014] |
A) 7500000
B) 9800000
C) 1200000
D) 1000000
Correct Answer: D
Solution :
Given, a wooden box A with dimensions |
\[=8m\times 7m\times 6m\] |
\[=800\,\,cm\times 700\,\,cm\times 600\,\,cm\] |
[as 1 m = 100cm] |
Also, a wooden box 'B' with dimensions |
\[=8\,\,cm\times 7\,\,cm\times 6\,\,cm\] |
Now, the number of boxes of type B |
which can be carried in box of type A |
\[=\frac{\text{Volume}\,\,\text{of}\,\,\text{box}\,\,A}{\text{Volume}\,\,\text{of}\,\,\text{box}\,\,B}\] |
\[=\frac{800\times 700\times 600}{8\times 7\times 6}=1000000\] |
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