Volume of a Triangular Prism Calculator

This Volume of a Triangular Prism Calculator helps you find the space inside a triangular prism when the triangle base, triangle height, and prism length are known. It uses the formula V = ½bhℓ, where b is the base, h is the height, ℓ is the prism length, and the answer is written in cubic units. First find the area of the triangular base, then multiply by the prism length to get the volume. It is a simple way to check answers, understand the triangular prism volume formula, and practise basic geometry step by step.

Step-by-step method

1. Identify what is given.
2. Write the formula.
3. Substitute the values and calculate the volume.

Formula:

Example 1: b = 3, h = 4, ℓ = 5

Step 1 - Identify what is given.

In this problem: The given values are b = 3, h = 4, ℓ = 5.

Step 2 - Write the formula.

In this problem: Use the triangular prism volume formula: V = ½ × b × h × ℓ.

Step 3 - Substitute the values and calculate the volume.

In this problem: Substitute and compute: V = ½ × 3 × 4 × 5 = 30.

Final answer: V = 30

Example 2: b = 5.5, h = 2, ℓ = 1.2

Step 1 - Identify what is given.

In this problem: The given values are b = 5.5, h = 2, ℓ = 1.2.

Step 2 - Write the formula.

In this problem: Use the triangular prism volume formula: V = ½ × b × h × ℓ.

Step 3 - Substitute the values and calculate the volume.

In this problem: Substitute and compute: V = ½ × 5.5 × 2 × 1.2 = 6.6.

Final answer: V = 6.6