Math Problem Statement
Solution
To calculate the volume of the triangular prism:
Step 1: Formula for the volume of a triangular prism:
Step 2: Calculate the area of the triangular base:
The base is a right triangle with:
- One leg = 5 cm
- Other leg = 8 cm
The formula for the area of a triangle:
Step 3: Multiply by the height of the prism:
The height of the prism is the length perpendicular to the base, which is given as . Thus:
Final Answer:
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Explore More:
- What is the formula for the surface area of a triangular prism?
- How does the volume formula change for different prisms?
- What are examples of real-life objects shaped like triangular prisms?
- Can you derive the area of the triangular base for other types of triangles?
- How do you calculate the centroid of a triangular prism?
Tip:
When solving geometry problems, always confirm the shape and verify dimensions from the diagram!
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Math Problem Analysis
Mathematical Concepts
Volume calculation
Geometry
Area of triangles
Formulas
Volume = Base Area × Height of the Prism
Base Area = (1/2) × Base × Height
Theorems
Area of a triangle theorem
Suitable Grade Level
Grades 7-9
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