Answer:
3603 boxes.
Step-by-step explanation:
Rectangular Prism is actually a cuboid.
Volume of cuboid = length * width * height.
It is given that length = 16.5 m, width = 18.2 m, and height = 12 m. Therefore:
Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.
Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:
Number of boxes to be fit = Volume of Large container/Volume of Small Container.
Number of boxes = 3603.6/1 = 3603 boxes.
Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
