Math Problem Statement
What is the volume, in cubic m, of a rectangular prism with a height of 15m, a width of 4m, and a length of 13m?
Solution
The volume of a rectangular prism is calculated using the formula:
Given the dimensions:
- Height = 15 meters
- Width = 4 meters
- Length = 13 meters
Substitute these values into the formula:
Thus, the volume of the rectangular prism is 780 cubic meters.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the surface area of the same rectangular prism?
- How would the volume change if the width was doubled?
- What is the diagonal length of the rectangular prism?
- If the volume remains the same but the height is increased to 20m, what would be the new width?
- How do the units of the dimensions affect the volume?
Tip: For any rectangular prism, increasing any one dimension while keeping the others constant results in a proportional increase in volume.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Rectangular Prisms
Formulas
Volume of a rectangular prism: V = length × width × height
Theorems
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Suitable Grade Level
Grades 6-8
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