Math Problem Statement
If the length, base and height of a triangular prism are 10 cm, 5 cm and 3.5 cm respectively Find the surface area and volume of prism. Draw a diagram also.
Solution
Here is a diagram of the triangular prism with the given dimensions. The base of the triangular face is 5 cm, the height is 3.5 cm, and the length of the prism is 10 cm.
If you need further details or explanations, feel free to ask!
5 Related Questions:
- How do you calculate the surface area of other prism shapes?
- How would the surface area change if the triangle was equilateral?
- What is the relationship between the volume and surface area of prisms?
- How does increasing the length affect the volume and surface area?
- Can you explain the differences between right and oblique prisms?
Tip: Always double-check unit consistency when calculating surface area and volume!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Volume
Prisms
Formulas
Surface area of a triangular prism: Surface Area = (Base Area × 2) + (Perimeter of Base × Length)
Volume of a triangular prism: Volume = (Base Area × Length)
Base Area of a triangle: Base Area = 0.5 × Base × Height
Perimeter of triangular base: Perimeter = Base + 2 × Side Length
Theorems
Area of a triangle
Suitable Grade Level
Grades 7-10
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