Question

the volume of this cube is 4,913 cubic meters. what is the value of j? j = meters

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube is given by \( V = j^3 \), where \( j \) is the side - length of the cube.

Step2: Solve for \( j \)

We know that \( V=4913\), so \( j^3 = 4913\). Then \( j=\sqrt[3]{4913}\).
Since \( 17\times17\times17 = 17^3=4913\) (because \(17\times17 = 289\) and \(289\times17=(300 - 11)\times17=300\times17-11\times17 = 5100-187 = 4913\)).

Answer:

\(17\)