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How do I find the volume of an equilateral triangle using BxH/2​

User Jemmy
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1 Answer

4 votes

Final answer:

To find the volume of an equilateral triangle, you need to use the formula V = 1/3 * √3/4 * s^2 * h, where s is the side length of the equilateral triangle and h is the height.

Step-by-step explanation:

The formula for the volume of an equilateral triangle is not BxH/2.

The formula you are referring to is for the volume of a triangle. To find the volume of an equilateral triangle, you need to use the formula V = 1/3 * √3/4 * s^2 * h, where s is the side length of the equilateral triangle and h is the height.

Here's an example:

If the side length of the equilateral triangle is 5 cm and the height is 4 cm, the volume would be calculated as follows:
First, find the area of the equilateral triangle using the formula A = (√3/4) * s^2. A

= (√3/4) * (5 cm)^2

= 10.83 cm^2.

Then, multiply the area by the height and divide by 3 to find the volume. V = (10.83 cm^2 * 4 cm) / 3

= 14.44 cm^3.

User Ivan Zhakov
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8.3k points