By what percent does the volume of a vube increase, if the lenght of each edge is increased by 50% ?​

Question

By what percent does the volume of a vube increase, if the lenght of each edge is increased by 50% ?​

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Quinn 4 weeks 2021-08-14T19:49:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T19:51:04+00:00

    Answer:

    273.5%

    Step-by-step explanation:

    this is the answer to the question

    0
    2021-08-14T19:51:28+00:00

    Answer:

    \huge\underline\bold {Answer:}

    Let each edge of the cube be x cm.

    Then, volume of the cube =

    x {}^{3}  \: cm {}^{3}

    Length of the edge after increase = 150/100 x cm = 1.5x cm.

    Therefore, increased volume

     = (1.5x) {}^{3}  \: cm  \\  3.375 {x}^{3} cm {}^{3}

    Therefore % increase

     = (3.375 {x}^{3}  - x {}^{3} ) \div  {x}^{3}

     = (2.375 \times 100)\% = 237.5\%

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