A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be pa

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A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be painted.

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2 thoughts on “A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be pa”

  1. Area of the bottom of the cuboid = L × B

                = 1 × 2

                = 2 m²

               

    As we know that, The surface area of a cuboid = 2(lb + lh + bh)

               

    But here the bottom part is not to be painted.

               

    Surface area of box to be painted = 2(lb + lh + bh)

          = 2 ( 1 × 2 + 2 × 1.5 + 1.5 × 1 )

          = 2 ( 2 + 3 + 1.5 )

          = 2 + 6.5

          = 13 m²

               

    According to the question ( Bottom of the box isn’t painted ).

               

    Area of the box painted = (13 -) m² = 11 m²

          

    Hence, the required surface area of the cuboidal box = 11 m2

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  2. Question :

               

    • A cuboidal box of dimensions 1 m × 2 m × 1.5 m is to be painted except its bottom. Calculate how much area of the box has to be painted.

       

    Given :

               

    • Length of the box, l = 2 m
    • Breadth of box, b = 1 m
    • Height of box, h = 1.5 m

               

    To Find :

               

    • How much area of the box have to be painted

               

    Solution :

               

    Area of the bottom of the cuboid = L × B

                = 1 × 2

                = 2 m²

               

    As we know that, The surface area of a cuboid = 2(lb + lh + bh)

               

    But here the bottom part is not to be painted.

               

    Surface area of box to be painted = 2(lb + lh + bh)

          = 2 ( 1 × 2 + 2 × 1.5 + 1.5 × 1 )

          = 2 ( 2 + 3 + 1.5 )

          = 2 + 6.5

          = 13 m²

               

    According to the question ( Bottom of the box isn’t painted ).

               

    Area of the box painted = (13 -) m² = 11 m²

          

    Hence, the required surface area of the cuboidal box = 11 m2

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    Reply

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