Question

select the correct answer.
a three - dimensional object is sliced perpendicular to its base. the result of the slice is a triangle.
which figure could be the three - dimensional object?
a. image of a can

b. image of a trough - like object

c. image of a ball

d. image of an ice - cream cone

Explanation:

Step1: Analyze Option A (Cylinder)

A cylinder, when sliced perpendicular to its base, will result in a rectangle (or a square if the height equals the diameter). So, it can't be a triangle.

Step2: Analyze Option B (Trough - Likely a Prism with Trapezoidal or Rectangular Base)

If we slice a trough (assuming it's a prism - like shape) perpendicular to its base, the cross - section will be a trapezoid or a rectangle, not a triangle.

Step3: Analyze Option C (Sphere)

Any slice of a sphere is a circle. So, it can't be a triangle.

Step4: Analyze Option D (Cone)

A cone, when sliced perpendicular to its base (which is a circle), the cross - section passes through the apex of the cone and is a triangle. The base of the triangle is the diameter of the circular base of the cone, and the two equal sides are the slant heights from the apex to the base of the cone.

Answer:

D. The cone (the three - dimensional object in option D)