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Evgen [1.6K]
3 years ago
6

A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 54 feet^2.

​​What is the volume inside the giant sugar cube?
Mathematics
1 answer:
saul85 [17]3 years ago
7 0
Each side area = 54/6 sides = 9 
one side is 3 feet so the volume is 3x3x3 = 27 square feet
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Given:
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\overline{PM}\cong\overline{ON}:, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement,                                              Reason

MNOP is a parallelogram:,                     Given

\overline{PM}\left |  \right |\overline{ON}:,                                               Opposite sides of a parallelogram

∠PMO ≅ ∠MON:,                                    Alternate Int. ∠s Thm.

\overline{MN}\left |  \right |\overline{PO}:,                                               Opposite sides of a parallelogram

∠POM ≅ ∠NMO:,                                    Alternate Int. ∠s Thm.

OM ≅ OM:,                                               Reflexive property

\overline{PM}\cong\overline{ON}:,                                               Segment subtended by the same                                                                                                                              angle and on two adjacent parallel lines are congruent

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