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14 days ago

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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*

2 answers:

lawyer [4K]14 days ago

6 0

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.

Leona [4.1K]14 days ago

5 0

Because the box is a cube, its volume formula is V = s^3 = 30 ft³, with s representing the side length. Therefore, s = ∛30, approximately 3.11 ft. The poster, being a square with an area of 9 ft², has side length √9 = 3 ft. Since 3 ft is less than 3.11 ft, the poster will fit flat inside the box.

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