Volume of a cubical box is #64cm^3#. If its sides are reduced by #xcm.#, what is the volume of new cubical box?

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Answer 1 · 2017-10-18T14:25:27

New volume of new cubical box would be #(4-x)^3cm.^3#

Volume of a cube whose side is #s# units is #s^3# cubic units.

As volume of cubical box is #64cm.^3#,

its side would be #root(3)64=4cm.#

If this side is reduced by #xcm.#

side becomes #(4-x)cm.#

and new volume of new cubical box would be #(4-x)^3cm.^3#

and if you need to expand it, it is #(64-48x+12x^2-x^3)##cm^3.#