What is the volume of a triangular prism that has a height of $$ 6 \mathrm{in} . $$, a triangular base that measures 8 in . on each side, and a height of $$ 6.93 \mathrm{in} . ? $$

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To find the volume of a triangular prism, we can use the formula:

$$ \text{Volume} = \text{Base Area} \times \text{Height} $$

Given:
- Height of the prism = 6 in
- Triangular base with each side measuring 8 in
- Height of the triangular base = 6.93 in

First, we need to calculate the area of the triangular base. The formula for the area of a triangle is:

$$ \text{Area of a triangle} = \frac{1}{2} \times \text{Base} \times \text{Height} $$

Given that the base of the triangle is 8 in and the height is 6.93 in, we can calculate the area of the triangular base.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{2}\times 8\times 6.93$$
- step1: Multiply the terms:
  $$4\times 6.93$$
- step2: Multiply the numbers:
  $$27.72$$
The area of the triangular base is $$27.72 \, \text{in}^2$$.

Now, we can calculate the volume of the triangular prism using the formula:

$$ \text{Volume} = \text{Base Area} \times \text{Height} $$

Substitute the values we have:
- Base Area = 27.72 in²
- Height = 6 in

Let's calculate the volume.
Calculate the value by following steps:
- step0: Calculate:
  $$27.72\times 6$$
- step1: Multiply the numbers:
  $$166.32$$
The volume of the triangular prism is $$166.32 \, \text{in}^3$$.
The volume of the triangular prism is $$166.32 \, \text{in}^3$$.

What is the volume of a triangular prism that has a height of , a triangular base that measures 8 in . on each side, and a height of

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