Final answer:
In this question, we're using the formulas for the volume and the cross-sectional area of a cube to solve for the missing side length. We find that the side length is 14 cm.
Step-by-step explanation:
The subject of this question is Mathematics and pertains to the concept of volume. The volume of a cube can be found using the formula V = s³, where V is volume and s is the side length. In this case, the volume is given as 2744 cm³. We can use this formula to solve for s: s = ∛V. Hence, s = ∛2744, meaning s = 14 cm.
Similarly, the cross-sectional area of a cube is found using the formula A = s², where A is the cross-sectional area and s is the side length. Given that the cross-sectional area is 196 cm², if we calculate the square-root of 196, we get 14 cm, which verifies our result.
Learn more about Cube Dimensions