Question

identifying 3-d figures - part i
identify the 3d figure.
image of a 3d geometric figure
options: triangular pyramid, rectangular prism, trapezoidal prism, triangular prism

Explanation:

Step1: Analyze the 3D figure's structure

A triangular prism has two triangular bases (the congruent, parallel faces) and three rectangular lateral faces. The given figure has two triangular bases (since the front and back faces appear triangular) and three rectangular sides (with right angles indicated, showing rectangular faces connecting the triangular bases).

Step2: Eliminate other options

• Triangular Pyramid: Has a triangular base and three triangular faces meeting at a vertex (this figure has two parallel triangular faces, not a single base with triangular faces meeting at a point).
• Rectangular Prism: Has six rectangular faces (this figure has triangular faces, so not rectangular prism).
• Trapezoidal Prism: Would have trapezoidal bases (this figure has triangular bases, not trapezoidal).

Answer:

Triangular Prism