Let a be the width of Lauren’s family room, b be the length of it and c - the height. Then the volume of Lauren’s family room is a volume of a rectangular prism:
[tex]V=a\cdot b\cdot c.[/tex]
This volume is equal to 1,120 cubic feet, so [tex]abc=1,120.[/tex]
If she triples the length of her family room, then new length is 3b (width and height left the same) and new volume is
[tex]V_{new}=a\cdot 3b\cdot c=3abc=3V=3\cdot 1,120=3,360[/tex] cubic feet.
Answer: the new volume will be tripled and its value will be 3,360 cubic feet.
