Question

carrie is packing her clothes in moving boxes that are in the shape of a cube. each box has a volume of 3 cubic feet. the moving truck has shelves that are 12 inches in height. will the moving boxes fit? explain. select choice 12 inches = 1 foot. the cube root of 3 is select choice than 1, so the boxes select choice too tall to fit on the shelves. select choice no yes question? get a hint show answer

Explanation:

Step1: Convert shelf height

12 inches = 1 foot.

Step2: Find side - length of cube box

The volume of a cube $V = s^{3}$, where $s$ is the side - length. Given $V = 3$ cubic feet, then $s=\sqrt[3]{3}$. Since $1^{3}=1$ and $2^{3}=8$, and $1<3<8$, we know that $\sqrt[3]{3}>1$.

Step3: Compare box height and shelf height

The side - length of the cube box (its height) $\sqrt[3]{3}$ is greater than 1 foot (the height of the shelf).

Answer:

no; greater; are