Volume of a Triangular Prism

The volume of a triangular prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m³, cm³, mm³, ft³.

Formula

The formula to calculate the volume of a triangular prism is given below:

In the above formula, the product of the half the base edge and the height is the base area of the prism. Therefore, we can also write the formula as:

Volume (V) = Base Area x Length

Let us solve some examples to understand the above concept better.

Solved Examples

Find the volume of a right triangular prism whose base is 7 cm, the height is 8 cm, and the length is 25 cm.

Solution:

As we know,
Volume (V) = ${\dfrac{1}{2}\times b\times h\times l}$, here b = 7 cm, h = 8 cm, l = 25 cm
∴ V = ${\dfrac{1}{2}\times 7\times 8\times 25}$
= 700 cm³

Find the volume of a triangular prism given in the figure.

Solution:

As we know,
Volume (V) = ${\dfrac{1}{2}\times b\times h\times l}$, here b = 5 cm, h = 6 cm, l = 14 cm
∴ V = ${\dfrac{1}{2}\times 5\times 6\times 14}$
= 210 cm³
 

Find the volume of a triangular prism given in the figure whose base area is 256 in².

Solution:

As we know,
Volume (V) = Base Area × Length, here base area = 256 in², length = 6.5 in
∴ V = 256 × 6.5
= 1664 in³

• More Resources:
  • Volume of a Prism
  • Surface Area of a Prism
  • Right Prism
  • Oblique Prism
  • Rectangular Prism
  • Volume of a Rectangular Prism
  • Surface Area of a Rectangular Prism
  • Triangular Prism
  • Volume of a Triangular Prism
  • Surface Area of a Triangular Prism
  • Hexagonal Prism
  • Volume of a Hexagonal Prism
  • Surface Area of a Hexagonal Prism
  • Pentagonal Prism
  • Volume of a Pentagonal Prism
  • Surface Area of a Pentagonal Prism
  • Trapezoidal Prism
  • Volume of a Trapezoidal Prism
  • Surface Area of a Trapezoidal Prism
  • Square Prism
  • Volume of a Square Prism
  • Surface Area of a Square Prism
  • Octagonal Prism
  • Heptagonal Prism
  • Decagonal Prism