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8th Class Mathematics Related to Competitive Exam Question Bank Cube and Dice

  • question_answer
    From a \[10\times 10\times 10\] cube, which is formed by combinations of \[1\times 1\times 1\] cubes, a layer of the smaller cubes is removed. What will be the number of \[1\times 1\times 1\] cubes present in this new cube?

    A) 900                             

    B) 488

    C) 512           

    D) 729

    Correct Answer: C

    Solution :

    A \[10\times 10\times 10\] cube has 10 cubes of \[1\times 1\times 1\] cubes along its length, breadth and width each. If we remove a layer of \[1\times 1\times 1\] cubes (the smaller cubes) then the new cube will have following dimensions: length; breadth \[=10-1-1=8\]and \[=10-1-1=8\] width \[=10-1-1=8\]. So the number of \[1\times 1\times 1\]cubes in this \[8\times 8\times 8\] cube\[8\times 8\times 8=512\].                   


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