8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weight (in kg), if ice weighs \[\frac{9}{10}\] of the weight of the same volume of water and \[\text{1 c}{{\text{m}}^{\text{3}}}\] of water weighs 1 gm.

    A)  9                                

    B)  13.5   

    C)  8                    

    D)         9.5     

    Correct Answer: B

    Solution :

    Volume of rectangular block of ice \[=(40\times 25\times 15)c{{m}^{3}}=15000c{{m}^{3}}\] Now, weight of \[\text{1 c}{{\text{m}}^{\text{3}}}\]of water=1gm Weight of \[\text{1 c}{{\text{m}}^{\text{3}}}\] of ice \[\text{=}{{\left( \frac{9}{10} \right)}^{th}}\] of weight of \[\text{1 c}{{\text{m}}^{\text{3}}}\] of water \[\therefore \] Weight of \[\text{1 c}{{\text{m}}^{\text{3}}}\] of ice \[\text{=}\left( \frac{9}{10} \right)gm\] \[\therefore \] Weight of rectangular block of ice \[=\left( \frac{9}{10}\times 15000 \right)gm=13.5kg\]


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