Question

the formula for the volume of a cube is ( v = s ^ { 3 } ) (or ( v = s \times s \times s )). using this formula, determine the volume when ( s = 14 ) in.
( square ) in.( ^ { 3 } )

Explanation:

Step1: Substitute the value of \(s\) into the formula

Given the formula for the volume of a cube \(V = s^{3}\) and \(s = 14\) in. Substitute \(s = 14\) into the formula: \(V=14^{3}\).

Step2: Calculate \(14^{3}\)

We know that \(14^{3}=14\times14\times14\). First, \(14\times14 = 196\). Then, \(196\times14=(200 - 4)\times14=200\times14-4\times14=2800 - 56 = 2744\).

Answer:

\(2744\)