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

  • question_answer
    A \[5\times 5\times 5\] cube is formed by using \[1\times 1\times 1\] cubes. If we add another layer of such \[1\times 1\times 1\] cube in the \[5\times 5\times 5\] cube. What will be the number of 1 x 1 x 1 cubes in the newly formed cube?

    A) 216                             

    B) 343

    C) 294                             

    D) 264

    Correct Answer: B

    Solution :

    A \[5\times 5\times 5\] cube has 5 cubes of \[1\times 1\times 1\] cubes along its length, breadth and width each. If we add a layer of \[1\times 1\times 1\]cubes (the smaller cubes) then the new cube will have following dimensions: length\[=5+1+1=7;\]breadth \[=5+1+1=7\]and width \[=5+1+1=7\] So the number of \[1\times 1\times 1\] cubes in this \[7\times 7\times 7\] cube \[7\times 7\times 7=343.\]


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