Question

1. higher order thinking 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.

Explanation:

Step1: Find side - length of the poster

The area of a square is $A = s^{2}$, where $s$ is the side - length. Given $A = 9$ square feet, then $s=\sqrt{9}=3$ feet.

Step2: Find side - length of the cube

The volume of a cube is $V = a^{3}$, where $a$ is the side - length. Given $V = 30$ cubic feet, then $a=\sqrt[3]{30}\approx3.11$ feet.

Since $3.11> 3$, the side - length of the cube's face is greater than the side - length of the square poster.

Answer:

Yes, the poster will lie flat in the box.