Question

Talia is packing a moving box. She has a​ square-framed poster with an area of 4 square feet. The​ cube-shaped box has a volume of 12 cubic feet. Will the poster lie flat in the​ box? Explain?
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Part 1
An area of 4 square feet means the square poster has dimensions
  
enter your response here fttimes
  
enter your response here ft. If the poster were the side of a​ cube, that cube would have a volume of
  
enter your response here ft cubed. The box has a
▼
larger
smaller
​volume, so its sides must be
▼
than the sides of the​ poster, meaning that the poster
▼
would not
would
lie flat in the bottom of the box.

Answer 1

An area of 4 ft² means the square poster is 2 ft by 2 ft. If that were the side of a cube, the cube's volume would be 2^3 = 8 ft³. The box's volume is 12 ft³ (larger), so its side length (∛12 ≈ 2.29 ft) is larger than the poster's 2 ft side, so the poster would lie flat in the box.