A) 960
B) 519
C) 2400
D) 1120
Correct Answer: A
Solution :
| The external dimensions of the box are |
| Length \[=20\,\,\text{cm},\]Breadth \[\text{12}\,\,\text{cm,}\] |
| Height \[\text{=10}\,\,\text{cm}\] |
| \[\therefore \] External volume of the box \[=20\times 12\times 10\]\[=2400\,\,\text{c}{{\text{m}}^{\text{3}}}\] |
| Thickness of the wood \[\text{=1}\,\,\text{cm}\] |
| \[\therefore \]Internal length \[=20-2=18\,\,\text{cm}\] |
| Internal breadth \[=12-2=10\,\,\text{cm}\] |
| Internal height\[=10-2=8\,\,\text{cm}\] |
| \[\therefore \]Internal volume \[=18\times 10\times 8=1440\,\,\text{c}{{\text{m}}^{\text{3}}}\] |
| \[\therefore \]Volume of the wood \[=(2400-1440)\,\,\text{c}{{\text{m}}^{\text{3}}}\] |
| \[=960\,\,\text{c}{{\text{m}}^{\text{3}}}\] |
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