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:
<em><u>Verify each statement</u></em>
<em>A) Each pack of folders has a volume of 60 cubic inches.</em>
The statement is True
Because
The volume of each pack of folders is equal to
![V=(5)(12)(1)=60\ in^{3}](https://tex.z-dn.net/?f=V%3D%285%29%2812%29%281%29%3D60%5C%20in%5E%7B3%7D)
<em>B) The box has a volume of about 720 cubic inches</em>
The statement is True
Because
The volume of the box is equal to the volume of one pack of folders multiplied by 12
so
![V=(12)60=720\ in^{3}](https://tex.z-dn.net/?f=V%3D%2812%2960%3D720%5C%20in%5E%7B3%7D)
<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>
The statement is False
Because
Applying proportion
![\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B720%7D%5Cfrac%7Bpacks%7D%7Bin%5E%7B3%7D%7D%3D%5Cfrac%7B15%7D%7Bx%7D%5Cfrac%7Bpacks%7D%7Bin%5E%7B3%7D%7D%5C%5C%20%5C%5Cx%3D720%2A15%2F12%5C%5C%20%5C%5Cx%3D900%5C%20in%5E%7B3%7D)
![900\ in^{3}\neq 1,200\ in^{3}](https://tex.z-dn.net/?f=900%5C%20in%5E%7B3%7D%5Cneq%201%2C200%5C%20in%5E%7B3%7D)
<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>
The statement is True
Because
Applying proportion
![\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B720%7D%5Cfrac%7Bpacks%7D%7Bin%5E%7B3%7D%7D%3D%5Cfrac%7B20%7D%7Bx%7D%5Cfrac%7Bpacks%7D%7Bin%5E%7B3%7D%7D%5C%5C%20%5C%5Cx%3D720%2A20%2F12%5C%5C%20%5C%5Cx%3D1%2C200%5C%20in%5E%7B3%7D)
![1,200\ in^{3}= 1,200\ in^{3}](https://tex.z-dn.net/?f=1%2C200%5C%20in%5E%7B3%7D%3D%201%2C200%5C%20in%5E%7B3%7D)
<em>E) Each pack of folders has a volume of 24 cubic inches.</em>
The statement is False
Because
The volume of each pack of folders is equal to
![V=(5)(12)(1)=60\ in^{3}](https://tex.z-dn.net/?f=V%3D%285%29%2812%29%281%29%3D60%5C%20in%5E%7B3%7D)