How to Calculate the Volume of a Triangle

How to Calculate the Volume of a Triangle
••• TomasSereda/iStock/GettyImages

Calculating the volume of a pyramid is quite simple, provided you are aware of the dimensions. Using the pyramid volume (V) formula, the only thing you have to do is find out the width, length and height of the pyramid.

    Measure the width and length of the base. Make sure you use a common measure unit, centimeters (cm) for example.

    Multiply the width by the length, to calculate the base area, which we will call "B." If, for example, the width and length are 6 and 7 cm, respectively, then the base area will be 42 cm^2.

    Measure the pyramid's height (h). The height is the perpendicular distance between the apex of the pyramid (the tip) and the base. In other words, it's the line that forms a right angle with the base, while connecting top and bottom.

    Use the Pythagorean Theorem to find out the pyramid's height, if you are not allowed to use a ruler, as part of an exercise. The theorem states that in any triangle, the square of the side opposite to a right angle, equals to the sum of the squares of the two remaining sides. For example, if the distance between the height axis and a pyramid's side is 3 cm and the side's length is 5 cm, then the height will be: 5^2=3^2 + h^2 or h^2=25-9=16, hence h=4 cm.

    Apply the formula V=Bh/3. On our example, it would be V= (42x4)/3= 168/3= 56 cm^3.

    Warnings

    • Never forget to use squares units (square meters, for example) when you're referring to area and cubic units for volume.

Related Articles

How to Calculate Area of an Object
How to Find the Lateral Area of a Square Pyramid
How to Calculate Pyramid Angles
How to Calculate Area of an Object
How to Calculate the Area of a Base
How to Find the Volume of a Triangular Pyramid
How to Find the Height of a Rhombus
How to Find the Perimeter of a Trapezoid With a Missing...
How to Find the Volume of a Parallelogram
How to Solve Equations on Isosceles Triangles
How to Find the Area of a Triangular Prism
How to Find the Surface Area of Triangles
How to Calculate Area of a Triangle
How to Calculate Volume of a Circular Cylinder
How to Find the Area of Triangles & Trapezoids
How to Put Base Log on Graphing Calculator
How to Calculate Quadrilateral Area
Properties of a Triangular Pyramid
How to Calculate the Volume of a Cylinder
How to Find Angles in a Trapezoid
How to Do Titration Calculations