A 16 decimeter long cylinder steel is cut into three shorter cylinders, and its surface area is increased by 24 square decimeters. What is the original volume of this steel

A 16 decimeter long cylinder steel is cut into three shorter cylinders, and its surface area is increased by 24 square decimeters. What is the original volume of this steel

Every time the cylindrical steel is cut off, the cross-sectional area will be increased by 2, and it will be cut into three sections twice, and the cross-sectional area will be increased by 4
Therefore, the cross-sectional area of the cylindrical steel is: 24 △ 4 = 6 (square decimeter)
Therefore, the original volume of cylindrical steel is: v = L * s = 16x6 = 96 (cubic decimeter)
A: the original volume of this steel is 96 cubic decimeters
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