quadrate

nouns

a cubelike object
is a type of (narrower)
a hexahedron with six equal squares as faces
a square-shaped object
is a type of (narrower)
(geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon
"you can compute the area of a square if you know the length of its sides"

adjectives

having four sides and four angles
is similar to
having four equal sides and four right angles or forming a right angle
"a square peg in a round hole"; "a square corner"