Answer:
A) Each pack of folders has a volume of 60 cubic inches.
B) The box has a volume of about 720 cubic inches
D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.
Step-by-step explanation:
Verify each statement
A) Each pack of folders has a volume of 60 cubic inches.
The statement is True
Because
The volume of each pack of folders is equal to
[tex]V=(5)(12)(1)=60\ in^{3}[/tex]
B) The box has a volume of about 720 cubic inches
The statement is True
Because
The volume of the box is equal to the volume of one pack of folders multiplied by 12
so
[tex]V=(12)60=720\ in^{3}[/tex]
C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches
The statement is False
Because
Applying proportion
[tex]\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}[/tex]
[tex]900\ in^{3}\neq 1,200\ in^{3}[/tex]
D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.
The statement is True
Because
Applying proportion
[tex]\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}[/tex]
[tex]1,200\ in^{3}= 1,200\ in^{3}[/tex]
E) Each pack of folders has a volume of 24 cubic inches.
The statement is False
Because
The volume of each pack of folders is equal to
[tex]V=(5)(12)(1)=60\ in^{3}[/tex]
