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 10 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
▼
smaller
larger
​volume, so its sides must be
▼
smaller
larger
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 square feet means the square poster has dimensions 2 ft × 2 ft. If the poster were the side of a cube, that cube would have a volume of 2^3 = 8 ft^3. The box has a larger volume (10 ft^3), so its sides must be larger than the sides of the poster (∛10 ≈ 2.15 ft > 2 ft), meaning that the poster would lie flat in the bottom of the box.