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# Calculate The Volume of A Pyramid With A Triangular Base

Last updated: Saturday, June 24, 2023
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A pyramid with a triangular base, also known as a tetrahedron, is a polyhedron formed by connecting four triangular faces. Each face is an equilateral triangle, making it a regular tetrahedron, with equal side lengths and angles, resulting in a symmetrical shape.

This geometric shape is found in various real-life applications, including the design of the tetrahedral kite, which uses the shape's lightweight and strong structure to achieve stable flight. Additionally, the triangular-based pyramid is present in chemistry, as it represents the molecular geometry of certain compounds like methane.

Easily calculate the volume of a pyramid with a triangular base with step-by-step guidance using our free calculator below.

The formula for determining the volume of a pyramid with a triangular base is defined as:
$$V$$ $$=$$ $$\dfrac{b \cdot h_b \cdot h}{2}$$ $$\cdot$$ $$\dfrac{1}{3}$$ $$=$$ $$\dfrac{b \cdot h_b \cdot h}{6}$$
$$V$$: the volume of the pyramid
$$a$$: the length of any side of the base triangle
$$h_b$$: the height of the base triangle
$$h$$: the height of the pyramid
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a pyramid with a triangular base using the base area and the height
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the length of any side of the base triangle
$$a$$
$$meter$$
the height of the base triangle
$$h_b$$
$$meter$$
the height of the pyramid
$$h$$
$$meter$$
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