82. Which of the following three-dimensional geometric shapes is always formed by a net that consists of only one type of shape?
Answer: B
A cube is always formed by a net that consists of only one type of shape.
A cube is constructed from six identical square faces, making it a shape that can be represented by a net consisting solely of squares.
A) Cylinder
A cylinder is formed from two circular bases and a rectangular side. This means it cannot be represented by a net consisting of only one type of shape, as it requires both circular and rectangular shapes.
B) Cube
A cube is made up entirely of six squares, thereby allowing its net to consist solely of one type of shape. This characteristic makes it unique among the options provided.
C) Prism
A prism can be formed from two identical polygonal bases and rectangular sides. Since the bases can be different types of polygons, the net does not consist of only one type of shape, disqualifying it from being the correct answer.
D) Pyramid
A pyramid consists of a polygonal base and triangular faces. Because it includes different shapes (the base and the triangular faces), its net cannot be made up of only one type of shape, which eliminates it from consideration.
Conclusion
The cube is the only geometric shape listed that can be represented by a net consisting solely of one type of shape—squares. All other options involve multiple shapes in their construction, thus failing to meet the criteria established in the question.