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QUESTION IMAGE

figure cross section (a) (b) (c)

Question

figure cross section (a) (b) (c)

Explanation:

Step1: Analyze Figure (a)

The figure (a) is a cube, and the cross - sectional plane is a vertical plane that cuts through the cube parallel to two of its faces. When a plane cuts a cube parallel to a pair of opposite faces, the cross - section should be a rectangle (or a square, which is a special case of a rectangle). Among the given cross - section options, the fourth option (the rectangle) is the correct cross - section for (a).

Step2: Analyze Figure (b)

Figure (b) is a three - dimensional figure with a triangular prism - like part and a rectangular prism - like part. The cross - sectional plane is a horizontal plane. When we cut this figure horizontally, we are cutting through the rectangular part (the prism) and the triangular part. The cross - section will be a rectangle because the horizontal cut through the rectangular prism part will give a rectangular cross - section. So the fourth option (the rectangle) is the correct cross - section for (b).

Step3: Analyze Figure (c)

Figure (c) is a sphere, and the cross - sectional plane is a horizontal plane (a plane cutting the sphere). When a plane cuts a sphere, the cross - section is always a circle. So the sixth option (the circle) is the correct cross - section for (c).

Answer:

For (a): The fourth cross - section (the rectangle).
For (b): The fourth cross - section (the rectangle).
For (c): The sixth cross - section (the circle).