Posted by **omkar gangwar** on Friday, December 21, 2012 at 12:54pm.

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 -
**Steve**, Friday, December 21, 2012 at 2:30pm
gotta know the length of the cylinder or the radius. just having the volume doesn't tell us enough.

- maths -
**Jay Bankoti**, Sunday, November 24, 2013 at 11:02am
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 -
**Anonymous**, Sunday, December 1, 2013 at 6:12am
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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