8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many \[\,\text{c}{{\text{m}}^{\text{3}}}\]of wood is used in it?

    A) \[\text{6752 c}{{\text{m}}^{\text{3}}}\]                

    B)  \[\text{6750 c}{{\text{m}}^{\text{3}}}\]   

    C)  \[\text{5752 c}{{\text{m}}^{\text{3}}}\]   

    D)         \[\text{5750 c}{{\text{m}}^{\text{3}}}\]   

    Correct Answer: A

    Solution :

    Thickness of wood \[=\text{ }1\text{ }cm\] Internal length of wooden box\[=40-(1+1)=38cm\] Internal breadth of the box \[=34-(1+1)-32\text{ }cm\] Internal height of wooden box \[-30-(1+1)=28\text{ }cm\] \[\therefore \] Internal volume of box\[=(38\times 32\times 28)c{{m}^{3}}\]                                     \[=34,048c{{m}^{3}}\] External volume of box\[=(40\times 34\times 30)c{{m}^{3}}\]                                     \[=40,800c{{m}^{3}}\] \[\therefore \] Volume of wood used \[\text{=External volume - Internal volume}\] \[\text{=40,800-34,048=6752c}{{\text{m}}^{3}}\]


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