The new volume after the edges of the box are increased by 1 unit = 266,491 units^3
Calculation of volume of rectangular box
The volume of a rectangle= l×w×h
The surface area of the box = (side)^2
The sum of the edges of the box = 216 units
If area of the box x^² = 2002
X = √2002
X = 44.7units
But the sum of the edges = 216 units
44.7 + 44.7 + y = 216
make y the subject of formula,
y = 216 - 89.4
y= 126.6 units
Therefore the length, width and height of the rectangular box = 44.7, 44.7 and 126.6 units respectively.
When additional 1 unit is added to each edge it becomes,
44.7 +1 =45.7,
44.7 + 1 = 45.7and
126.6 + 1 = 127.6 units.
Therefore the new volume = 45.7×45.7 × 127.6 = 266,491 units^3.
Learn more about volume here:
https://brainly.com/question/25736513
#SPJ1
