Question

the shapes shown are different cross - sections of the same three - dimensional object. which three - dimensional object has these cross - sections?

Explanation:

Step1: Analyze cross - section of cone

A cone's cross - sections are a circle (parallel to base), an isosceles triangle (vertical cross - section through the vertex), and not rectangles. So option A is incorrect.

Step2: Analyze cross - section of cube

A cube can have a square cross - section (parallel to a face), a rectangle (when cut at an angle to a face), and a triangle (when cut through three non - parallel edges). This matches the given cross - sections.

Step3: Analyze cross - section of cylinder

A cylinder's cross - sections are a circle (parallel to base) and a rectangle (vertical cross - section), but not a triangle. So option C is incorrect.

Step4: Analyze cross - section of triangular pyramid

A triangular pyramid's cross - sections are triangles and sometimes trapezoids, but not rectangles in the general sense as given here. So option D is incorrect.

Answer:

B. Cube