Math Problem Statement

Count the cubes and write the volume of the rectangular prism.

Solution

The image shows a rectangular prism formed by individual cubes. To determine the volume of the rectangular prism, we count the number of cubes.

First, let's analyze the structure:

  • The prism appears to have a grid of cubes with dimensions:
    • 4 cubes in length (front to back)
    • 3 cubes in width (side to side)
    • 2 cubes in height (top to bottom)

The volume of a rectangular prism is calculated by multiplying the dimensions: Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} Using the values: Volume=4×3×2=24cubic units\text{Volume} = 4 \times 3 \times 2 = 24 \, \text{cubic units}

So, the volume of the rectangular prism is 24 cubic units.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the formula for the volume of a cube?
  2. How would the volume change if the height doubled?
  3. Can you find the surface area of this rectangular prism?
  4. What is the total number of edges on this rectangular prism?
  5. How would the volume be affected if one dimension decreased by half?

Tip: When calculating volume, ensure all dimensions are in the same units to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of 3D Shapes

Formulas

Volume = Length × Width × Height

Theorems

Properties of a rectangular prism

Suitable Grade Level

Grades 5-7