Answer:
The volume is:
[tex]V_{2}=9984\: ft^{3}[/tex]
Step-by-step explanation:
The equation of the volume of a rectangular prism is:
[tex]V=L*W*H[/tex]
Where:
- L is the length
- W is the width
- H is the height
We know the volume is 768 ft³ and the new width change a 13 factor, in other words, W(2) = 13W(1), so we can divide each equation of the volume to find the new volume.
[tex]\frac{V_{1}}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]
[tex]\frac{768}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]
L and W remain constant.
Therefore, we just need to solve it for V(2).
[tex]\frac{768}{V_{2}}=\frac{1}{13}[/tex]
[tex]V_{2}=13*768=9984\: ft^{3}[/tex]
I hope it helps you!
