Talia is packing a moving box. she has a square-framed poster with an area of 9 square feet. the cube-shaped box has a volume of 30 cubic feet. will the poster lie flat in the box? explain. *the volume of the cube-shaped box is 30 cubic feet*

Since the box is cube-shaped, its volume is V = 30 ft^2 = s^3, where s is the length of one side.  Then s = ∛30, or approx. 3.11 ft.  The length of one side of the 9 ft^2 square poster is √9, or 3 ft.  Yes, the 3 ft^2 poster will fit the box, whose bottom area is 3.11 ft^2.

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