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what is the volume of box if volume of cylinder is 48.125 cubic cm, which formed by rolling a rectangular paper sheet along the length of the paper. if a cuboidal box (open lid) made from the same sheet of paper by cutting out the four square of the side 0.5 cm from each of the corners of the paper sheet then ?

  • maths -

    gotta know the length of the cylinder or the radius. just having the volume doesn't tell us enough.

  • maths -

    Hi Omkar, we do have a way for this question.Only way is to think out of the box. Let me tell you how it goes:
    Volume of cylinder= (pi) (r)(r)(h)= 48.125
    (r)(r)h = 15.3125
    15.3125 is not a perfect square. To make it perfect square, h should be 5cm.
    Now (r)(r)=15.3125/5 = 3.0625 which makes r = 1.75cm
    Therefore, rectangular sheet has length of 2(pi)(r)=11cm and width (h) of 5cm.
    After cutting a square of 0.5cm from each corner, the dimension of the cuboid becomes:
    Length=11-1=10cm; Breadth=5-1=4cm; Height=0.5cm.
    Therefore, Volume of cuboid= 10 x 4 x 0.5 = 20 cubic cm.
    Thank you for reading it!
    Have a nice day Omkar!
    Jay Bankoti

  • maths -

    Hi Omkar, we do have a way for this question.Only way is to think out of the box. Let me tell you how it goes:
    Volume of cylinder= (pi) (r)(r)(h)= 48.125
    (r)(r)h = 15.3125
    15.3125 is not a perfect square. To make it perfect square, h should be 5cm.
    Now (r)(r)=15.3125/5 = 3.0625 which makes r = 1.75cm
    Therefore, rectangular sheet has length of 2(pi)(r)=11cm and width (h) of 5cm.
    After cutting a square of 0.5cm from each corner, the dimension of the cuboid becomes:
    Length=11-1=10cm; Breadth=5-1=4cm; Height=0.5cm.
    T

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