Math Problem Statement

What is the volume?

Solution

The image shows a rectangular prism with dimensions:

  • Length = 5 m
  • Width = 1 m
  • Height = 3 m

To find the volume of the rectangular prism, use the formula:

Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

Substituting the values:

Volume=5m×1m×3m=15cubic meters\text{Volume} = 5 \, \text{m} \times 1 \, \text{m} \times 3 \, \text{m} = 15 \, \text{cubic meters}

Thus, the volume of the prism is 15 cubic meters.

Would you like more details or explanations about how this works? Here are some related questions:

  1. How do you calculate the volume of a cube?
  2. What is the difference between volume and surface area?
  3. How can you find the volume of irregular shapes?
  4. How does the volume formula apply to other 3D shapes?
  5. What other units of volume can be used besides cubic meters?

Tip: When calculating the volume, always make sure that all the measurements are in the same unit (e.g., meters or centimeters) to get an accurate result.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of a Rectangular Prism

Formulas

Volume = Length × Width × Height

Theorems

Volume of Rectangular Prism

Suitable Grade Level

Grades 4-6