In an inclined parallelepiped, the base is a square. two opposite side faces are perpendicular to the plane of the base
| August 3, 2021 | education
In an inclined parallelepiped, the base is a square. two opposite side faces are perpendicular to the plane of the base. All edges of the parallelepiped are equal to each other. side face area 25cm2. the length of the edge is?
Since the two side faces of the prism are perpendicular to the base plane, and the lengths of the edges of these faces are equal, these faces are rhombuses.
The inclined faces АА1В1В and СС1Д1Д, in which all the faces are also equal, have squares, the area of which, by condition, is equal to 25 cm2.
Then SD = CC1 = C1D1 = DD1 = √S = √25 = 5 cm.
Answer: The length of the edge of the prism is 5 cm.
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