Answer:
270 cans of soda
Step-by-step explanation:
First, we need to find the volume of the box and the volume of a can.
Volume of box = [tex]l\times w\times h[/tex]
[tex]=17\times45\times20[/tex]
[tex]=15300cm^{3}[/tex]
Volume of can = [tex]\pi r^{2}h[/tex]
Since we are given the diameter and that the radius is half the diameter, [tex]r = 1.5cm[/tex]
Volume of can = [tex]\pi \times 1.5^{2}\times 8[/tex]
[tex]= 56.54866776cm^{3}[/tex] (using calculator)
To find how many cans can fit into the box:
Number of cans = volume of box [tex]\div[/tex] volume of can
[tex]= 270.5634033[/tex]
Because we are trying to find how many full whole cans can fit in the box, ∴ 270 cans of soda can fit in the box.
Hope this helps :)
