Solid geometry › Cubes and cuboids › Edges and diagonals of cuboids

Longest edge of a rectangular block

High school · ●●●○○ 50 pts

The lengths of three unequal edges of a rectangular solid block are in geometric progression. The volume of the block is 216 cm3216\ \text{cm}^3 and its total surface area is 252 cm2252\ \text{cm}^2. Find the length of the longest edge, in cm.

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