Question

1. suppose a cube has a volume of 125 cubic units. what is its edge length? explain what you know.

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the edge - length.

Step2: Solve for edge - length

Given $V = 125$ cubic units. We set up the equation $s^{3}=125$. Taking the cube - root of both sides, we have $s=\sqrt[3]{125}$. Since $5\times5\times5 = 125$, $\sqrt[3]{125}=5$ units.

Answer:

The edge - length of the cube is 5 units. We know that the volume of a cube is calculated by cubing the length of its edge. When the volume is given as 125 cubic units, we find the edge - length by taking the cube - root of the volume.