Math Problem Statement

Find the volume of the rectangular prism with dimensions 9 yards (height), 5 yards (length), and 3 yards (width).

Solution

The image shows a question asking to find the volume of a rectangular prism with dimensions given as 9 yards (height), 5 yards (length), and 3 yards (width). Let's calculate the volume.

The formula for the volume of a rectangular prism is:

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

Substitute the given dimensions:

Volume=5yd×3yd×9yd\text{Volume} = 5 \, \text{yd} \times 3 \, \text{yd} \times 9 \, \text{yd}

Volume=135cubic yards\text{Volume} = 135 \, \text{cubic yards}

Final Answer:

The volume is 135 cubic yards.


Would you like further explanations or help with related problems? Here are some questions to expand your understanding:

  1. What would the volume be if one dimension were doubled?
  2. How does the formula for volume change for different 3D shapes?
  3. What are some real-world applications of finding volumes?
  4. Can you calculate the surface area of this prism with the same dimensions?
  5. How do units affect the volume calculation if the dimensions are in feet instead of yards?

Tip:

Always double-check that the dimensions are in the same units before performing calculations!

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Rectangular Prism

Formulas

Volume = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 6-8