Answer:
Length of the box, l = 1.80 inches
Step-by-step explanation:
Let length of the rectangular box is l
Width of the box is 4 times of its length, b = 4 l
Its height is 6 inch more than its length.
Height, h = (6 + l) inch
Volume of the box, [tex]V=102\ in^3[/tex]
The volume of a box is given by :
[tex]V=l\times b\times h[/tex]
[tex]102=l\times 4l\times (6+l)[/tex]
[tex]4l^3+24l^2-102=0[/tex]
On solving the above equation using online calculator we get,
l = 1.80 inch
