Answer:
2.68 units
Step-by-step explanation:
We are given that a rectangular box has dimensions 4 by 5 by 2.
We have to find that how much each dimension of the original box was increased to create the new box
Let x be the increased value in each dimension
We know that volume of rectangular box=lbh
Volume of original box=[tex]4\times 5\times 2[/tex]=40 cubic units
Volume of new box =[tex]6\times 40=240 cubic units[/tex]
Dimension of new box=[tex](x+4)(5+x)(2+x)[/tex]
Volume of new box=240
[tex](x+5)(x+4)(x+2)=240[/tex]
[tex]x^3+11x^2+38x+40-240=0[/tex]
[tex]x^3+11x^2+38x-200=0[/tex]
By graph we get
x=2.679
Round to two decimal places then we get
x=2.68
Hence, each dimension was increased by 2.68 units
