Math Problem Statement

Figuren viser en skitse af et prisme. Hvad er rumfanget af prismet?

Solution

The image shows a triangular prism with the following given dimensions:

  • The area of the triangular base is 40cm240 \, \text{cm}^2.
  • The height (length) of the prism is 6cm6 \, \text{cm}.

To find the volume of a prism, you can use the formula: Volume=Base Area×Height\text{Volume} = \text{Base Area} \times \text{Height}

Here: Volume=40cm2×6cm=240cm3\text{Volume} = 40 \, \text{cm}^2 \times 6 \, \text{cm} = 240 \, \text{cm}^3

Answer:

The volume of the prism is 240cm3240 \, \text{cm}^3.

Would you like further details on this solution or have any questions?

Related Questions:

  1. How do you find the volume of other types of prisms?
  2. What if the area of the base is given indirectly; how would you calculate it?
  3. How does the formula for volume differ between triangular and rectangular prisms?
  4. Can you use the volume formula for prisms with different shaped bases?
  5. How would you solve for the height if only the volume and base area are given?

Tip:

For any prism, the volume is always the area of the base multiplied by the height (distance between the two bases).

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Math Problem Analysis

Mathematical Concepts

Volume calculation
Geometry of prisms

Formulas

Volume = Base Area × Height

Theorems

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Suitable Grade Level

Grades 7-9