MathematicsThe external dimensions of a closed wooden box are 48 cm,36   cm,30 cm  . The box is made of 1.5 cm  thick wood. How many bricks of size 6 cm×3 cm×0.75 cm  can be put in this box?

The external dimensions of a closed wooden box are 48 cm,36   cm,30 cm  . The box is made of 1.5 cm  thick wood. How many bricks of size 6 cm×3 cm×0.75 cm  can be put in this box?


  1. A
    2970
  2. B
    2870
  3. C
    2770
  4. D
    2370 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Given : The external dimensions of a closed wooden box are 48 cm  , 36 cm  , 30 cm  . The box is made of 1.5 cm   thick wood.
    Consider the number of bricks be n  .
    Calculate the volume of the inner box, V=lbh  
    V= 482×1.5 × 362×1.5 × 302×1.5  
    V= 483 × 363 × 303 =45×33×27 =40095c m 3  
    V=6×3×0.75 =13.5c m 3  
    n= 40095 13.5  
    n=2970   So, the number of bricks is 2970.
    Hence, the correct option is 1.
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.