Question

2. A pup tent has a rectangular floor, two rectangular

sides, and two triangular sides. Which geometric
shape best models a pup tent?
A rectangular prism
B triangular pyramid
C rectangular pyramid
D triangular prism

Answer 1

Triangular prism.

Explanation:

Imagine a rectangular floor. Along the lengths, place rectangles beside it. Along the widths, place triangles beside them. If you fold them up, we get a triangular prism.

Answer 2

The pup tent is a triangular prism ⇒ D

Explanation:

Lets describe each shape

Rectangular prism has

• 6 faces
• All the faces are rectangles

Triangular pyramid has

• 4 faces, 1 base and 3 side faces
• All the faces are triangles

Rectangular pyramid has

• 5 faces, 1 base and 4 side faces
• The base is a rectangle and the 4 side faces are triangles

Triangular prism has

• 6 faces
• The 2 faces are triangles and the 4 faces are rectangles

∵ The pup tent has a rectangular floor

∵ It has two rectangular sides

∵ It has two triangular sides

∴ The tent has 5 faces, 2 triangular faces and 3 rectangular faces

- That means the tent is a triangular prism

∴ The pup tent is a triangular prism