Table of Contents

Last modified on August 3rd, 2023

The volume of a trapezoidal prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m^{3}, cm^{3}, mm^{3}, ft^{3}.

The formula is given below:

Let us solve some examples to understand the concept better.

**Find the volume of a trapezoidal prism given in the figure.**

Solution:

As we know,

${Volume\left( V\right) =\dfrac{1}{2}\left( a+b\right) \times h\times l}$*,* here *a* = 10 cm, *b* = 8 cm, *h* = 6 cm, *l* = 13 cm

${\therefore V=\dfrac{1}{2}\times \left( 10+8\right) \times 6\times 13}$

= 702 cm^{3}

Finding the volume of a trapezoidal prism when **BASE AREA** and **LENGTH** are known

**Find the volume of a trapezoidal prism given in the figure, whose base area is 361 m ^{2} and length is 12.5 m.**

Solution:

Here we will use an alternative formula.

Volume (*V*) = Base Area × *l*, here base area = 361 m^{2}, *l* = 12.5 m

∴*V* = 361 × 12.5

= 4512.5 m^{3}

Finding the volume of an oblique trapezoidal prism when **BASE AREA** and **LENGTH** are known

**Find the volume of an oblique trapezoidal prism given in the figure.**

Solution:

As we know,

Volume of a right trapezoidal prism with length ‘l’ = Volume of oblique trapezoidal prism length ‘l’

${Volume\left( V\right) =\dfrac{1}{2}\left( a+b\right) \times h\times l}$, here *a* = 12 m, *b* = 9 m, *h* = 5 m, *l* = 11 m

${\therefore V=\dfrac{1}{2}\times \left( 12+9\right) \times 5\times 11}$

= 577.5 m^{3}

**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

Last modified on August 3rd, 2023

This is an interesting and informative post on the volume of a trapezoidal prism. It provides a clear definition, formula, and examples to help readers understand this concept better. Thanks for sharing!