A die is cut horizontally. What is the cross-section obtained?a)A tria...
We will get a square.
As the shape of a cube is the 3D shape of a square.
When we will cut a cube horizontally we will get the shape of a square.
A die is cut horizontally. What is the cross-section obtained?a)A tria...
Cross-Section of a Die Cut Horizontally
A cross-section is the shape obtained when a solid object is cut by a plane. In this case, we have a die that is cut horizontally. Let's explore the possible cross-sections that could be obtained.
a) Triangle: A triangle is a three-sided polygon. If the die were cut horizontally, it is unlikely that a triangular cross-section would be obtained. A die is typically a cube shape with six square faces, so cutting it horizontally would not result in a triangular cross-section.
b) Rectangle: A rectangle is a four-sided polygon with opposite sides that are equal in length and four right angles. It is possible that a die could be cut horizontally in a way that a rectangular cross-section is obtained. However, a die is not typically rectangular in shape, so this option is less likely.
c) Square: A square is a four-sided polygon with all sides equal in length and four right angles. This is the correct answer. If a die is cut horizontally, the resulting cross-section would indeed be a square. Each face of the die is a square, so cutting it horizontally would reveal a square cross-section.
d) Cube: A cube is a three-dimensional object with six square faces. It is not possible to obtain a cube as a cross-section when a die is cut horizontally. Cutting a cube horizontally would result in a two-dimensional shape, and the resulting cross-section would be a square.
In summary, when a die is cut horizontally, the cross-section obtained is a square. This is because each face of the die is a square, so cutting it horizontally would reveal a square-shaped cross-section.