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2 problems match “symmetric sums”. Clear

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1. Surface area from edge sum and diagonal ●●○○○ 20 ptsThe sum of the lengths of the twelve edges of a rectangular box is $140$, and the distance from one corner of the box to the farthest corner is $21$. What is the total surface area of the box?
2. Four-element set from its triple sums ●●○○○ 20 ptsLet $A=\{a_1, a_2, a_3, a_4\}$ be a set of four numbers. The set $B=\{-1, 3, 5, 8\}$ consists of the sums of the elements of all the three-element subsets of $A$. Find the four elements of $A$, in increasing order.