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A box, constructed from a rectangular me...

A box, constructed from a rectangular metal sheet, is 21 cm by 16cm by cutting equal squares of sides `x` from the corners of the sheet and then turning up the projected portions. The value of `x` os that volume of the box is maximum is (a)` 1` (b) ` 2` (c) `3` (d)` 4`

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Knowledge Check

  • A box is constructed. from a rectangular metal sheet of 21 cm. by 16 cm. by cutting egual squares of sides x from the corners of the sheet and then turning up the projected portions . The value of xsathat volume of the box is maximum is

    A
    1
    B
    2
    C
    3
    D
    4

  • A rectangular box is to be made form a sheet of 24 inch length and 9 inch wideth cutting out indetical squares of side length x from the four corners and turning up the sides What is the value of x for width the vulume is maximum ?

    A
    1 inch
    B
    1.5 inch
    C
    2 inch
    D
    2.5 inch

  • A rectangular box is to be made form a sheet of 24 inch length and 9 inch wideth cutting out indetical squares of side length x from the four corners and turning up the sides What is the maximum volume of the box ?

    A
    200 cubic inch
    B
    400 cubic inch
    C
    100 cubic inch
    D
    none of these

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