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This cube has a cross-sectional area of 196 cm2 and a volume of 2744 cm3.

Work out the length of the missing side, x.

User Loetn
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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

User Siburb
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