Question

ms. lu is adding a new room to her dollhouse. the room will be a cube with a volume of 64 cubic inches. what is the length of the new room? the length of the room is (type an integer or a decimal.)

Explanation:

Step1: Recall volume formula for cube

The volume formula for a cube is $V = s^3$, where $s$ is the side - length (or length in this case) of the cube and $V$ is the volume.

Step2: Solve for $s$

Given $V = 64$ cubic inches, we set up the equation $s^3=64$. Taking the cube - root of both sides, $\sqrt[3]{s^3}=\sqrt[3]{64}$. Since $4\times4\times4 = 64$, $s = 4$.

Answer:

4