Math Problem Statement

Which object is a pyramid? Find the name of the 3D shape Mina is thinking of.

Solution

Based on the worksheet you provided, here are the answers and explanations:

Question 19: Which object is a pyramid?

  • The correct answer is B. This is because a pyramid has a square or triangular base and triangular sides that meet at a single point (the apex). The image of the Egyptian pyramid (B) represents this.

Question 20: Find the name of the 3D shape.

  • Mina describes a 3D shape with:
    • 5 faces
    • 2 opposite triangular faces
    • Other faces are rectangles
  • This shape is a Triangular Prism.

Would you like further clarifications or help with related concepts?

Here are some related questions for exploration:

  1. What is the difference between a triangular prism and a pyramid?
  2. How can you calculate the volume of a triangular prism?
  3. What are some real-life examples of pyramids and triangular prisms?
  4. How can you determine the surface area of a 3D shape like a triangular prism?
  5. What are the defining characteristics of other common 3D shapes like cylinders and spheres?

Tip: To identify a 3D shape, count its faces, edges, and vertices while noting the shape of each face.

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Math Problem Analysis

Mathematical Concepts

3D Shapes
Properties of Pyramids
Properties of Prisms

Formulas

None required for this conceptual question

Theorems

None directly applicable, but knowledge of geometric definitions is essential

Suitable Grade Level

Grade 5