Answer:
Yes, the poster will lie flat inside the box.
Explanation step-by-step:
Given information:
Talia has a square-framed poster with area 9 square feet.
Area of a square = side × side
So, 9 = side²
Taking square root on both sides:
side = √9
side = 3 feet (considering the positive value)
The poster's side length is 3 feet.
The cubic box has a volume of 30 cubic feet.
Volume of a cube = side³
This gives:
30 = side³
side = ∛30 ≈ 3.12 feet
The cube's side length is approximately 3.12 feet.
Since 3.12 ft > 3 ft, the box can accommodate the poster frame flat.
Therefore, the poster fits lying flat inside the box.