Prisms Quick Check

Question

1 of 51 of 5 Items
Question
Identify the number of faces in a triangular prism. (1 point)
Responses
Question 1
A. 6
B. 9
C. 12
D. 5
Question
Identify the number of vertices in a rectangular prism. (1 point)
Responses

12
12

2
2

8
8

6

Question 3
Describe the two-dimensional shape made by slicing a rectangular prism vertically, perpendicular to the base.(1 point)
Responses

triangle
triangle

square
square

rectangle
rectangle

hexagon
Question 4

Use the image to answer the question.

An illustration shows a 3 D rectangular prism lying horizontally along the length as the base. A two dimensional rectangle cuts through the prism from left to right at an angle, cutting through the top left corner of the prism. The lines that are not visible are shown as dashed lines.

What is the two-dimensional shape created by the sliced object?

(1 point)
Responses

rectangle
rectangle

parallelogram
parallelogram

hexagon
hexagon

triangle
triangle
Question 5
What is the two-dimensional shape created by slicing a triangular prism parallel to the base?(1 point)
Responses

hexagon
hexagon

rectangle
rectangle

square
square

triangle
Answer all five questions! Please give an explanation why, use the lesson to get all FIVE questions correct completely

Answer 1

1. The number of faces in a triangular prism is 5. This includes the two triangular bases and three rectangular lateral faces.

2. The number of vertices in a rectangular prism is 8. This includes the 4 corners on the top face and 4 corners on the bottom face.

3. The two-dimensional shape made by slicing a rectangular prism vertically, perpendicular to the base is a rectangle. This is because the cross-section will be a rectangle since the cut is perpendicular to the base.

4. The two-dimensional shape created by slicing the 3D rectangular prism in the given illustration is a parallelogram. This is because the slicing plane is at an angle and the resulting shape will be a parallelogram.

5. The two-dimensional shape created by slicing a triangular prism parallel to the base is a triangle. This is because the cut is parallel to the triangular base, resulting in a cross-section that is a triangle.

By understanding the properties of prisms and how they can be sliced or cut to create two-dimensional shapes, you can correctly answer all five questions. Remember that prisms have specific characteristics such as faces, vertices, and how they can be sliced to create different shapes.

Answer 2

Question 4 is wrong it is actually triangle

Answer 3

Apologies for the mistake in my previous response. I appreciate your correction.

In a triangular prism, if it is sliced parallel to the base, the resulting two-dimensional shape created is indeed a triangle. Thank you for pointing out the error, and I hope this correction helps clarify the concept.

Therefore, the answer to Question 4 should be "triangle."