Math Problem Statement

Identify each solid figure by its shape and/or description. The figures are: a rectangular prism, a cylinder, and a square pyramid. Match each description: a figure with six congruent square faces, a figure with one base that is a circle, a figure with two parallel congruent bases that are circles, a figure with two parallel congruent bases that are rectangles, a figure with four faces that are triangles.

Solution

Let's break down the visual elements and descriptions in the image you uploaded. Each figure corresponds to a solid geometric shape, and the task involves matching each shape with its description. I'll list the correct answers based on the shapes and their descriptions:

  1. (24) - The shape is a rectangular prism (also known as a cuboid). This is a figure with two parallel congruent bases that are rectangles.

  2. (25) - The shape is a cylinder. This is a figure with two parallel congruent bases that are circles.

  3. (26) - The shape is a square pyramid. This is a figure with four faces that are triangles.

Now matching them to the descriptions:

  1. (24) - "a figure with two parallel congruent bases that are rectangles" (rectangular prism).
  2. (25) - "a figure with two parallel congruent bases that are circles" (cylinder).
  3. (26) - "a figure with four faces that are triangles" (square pyramid).

For the remaining descriptions, based on geometric definitions:

  1. A figure with six congruent square faces is a cube.
  2. A figure with one base that is a circle is a cone.

Do you want more details on any of these solid figures or their properties?

Here are some related questions:

  1. What are the properties of a cube compared to a rectangular prism?
  2. How do you calculate the volume of a cylinder?
  3. What is the difference between a square pyramid and a triangular pyramid?
  4. What other shapes have circular bases besides cylinders and cones?
  5. How can you determine the surface area of a cube?

Tip: Always visualize the shapes in 3D when trying to match them with descriptions, especially when dealing with parallel bases.

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Math Problem Analysis

Mathematical Concepts

Geometry
Solid Shapes
3D Figures

Formulas

Surface area and volume formulas for prisms, cylinders, and pyramids

Theorems

Properties of solid figures

Suitable Grade Level

Grades 4-6