Answer:
There are 23085 pieces of cereal in the box.
Step-by-step explanation:
Given dimension of the box;
Length = 19 cm
Width = 3 cm
Height = 27 cm
For finding the capacity of the box we should find out the volume of the box.
Volume of box = [tex]length\times width\times height[/tex]
Volume of box = [tex]19\times3\times27=1539\ cm^3[/tex]
Now, according to question;
[tex]2\ cm^3[/tex] of space in the box holds 30 pieces of cereal.
To find out the number of cereal in the box we use the unitary method.
∵ [tex]2\ cm^3[/tex] of space in the box holds 30 pieces
∴ [tex]1\ cm^3[/tex] of space in the box = [tex]\frac{30}{2}[/tex]
∴[tex]1539\ cm^3[/tex] of space in the box = [tex]\frac{30}{2}\times1539=15\times1539= 23085[/tex].
Hence there are 23085 pieces of cereal in the box.
