Question

the volume of this cube is 2,197 cubic yards. what is the value of t? t = yards

Explanation:

Step1: Recall the volume formula of a cube

The volume formula of a cube is \(V = t^3\), where \(t\) is the side - length of the cube. Given \(V=2197\) cubic yards, we have the equation \(t^3 = 2197\).

Step2: Solve for \(t\)

To find \(t\), we need to take the cube - root of both sides of the equation. So \(t=\sqrt[3]{2197}\).
Since \(13\times13\times13 = 13^3=2197\), then \(t = 13\).

Answer:

\(13\)