To calculate the volume of a triangular prism using the given formula (V = \left(\frac{1}{2} \times \text{base} \times \text{height}\right) \times \text{length}), follow these steps:

Step 1: Understand the variables

• Base: The length of one side of the triangular base (let’s denote it as (b)).
• Height: The perpendicular distance from the base of the triangle to its opposite vertex (denoted as (h)).
• Length: The distance between the two triangular bases of the prism (denoted as (l)).

Step 2: Calculate the area of the triangular base

The area of the triangular base is (\frac{1}{2} \times b \times h). This is the standard formula for the area of a triangle.

Step 3: Multiply by the prism’s length

The volume of the prism is the area of the base multiplied by the length of the prism:
(V = \left(\frac{1}{2}bh\right)l).

Example Application

Suppose the triangular base has (b = 5) units, (h = 4) units, and the prism length (l = 10) units:

• Area of base: (\frac{1}{2} \times 5 \times 4 = 10) square units.
• Volume: (10 \times 10 = 100) cubic units.

Final Answer: The volume is calculated by substituting the values of the triangle’s base, height, and the prism’s length into the formula. For the example above, it’s (\boxed{100}) (adjust based on actual values from the image if available).

If you provide the specific values from the image, I can compute the exact volume!
(\boxed{}) (fill in with numerical value once values are known)

作者声明:本文包含人工智能生成内容。