Trapezoid Prism – Practice Problems

Q1: Given a trapezoid prism with bases of lengths 7 cm, 5 cm, 4cm, 8cm, height of 12 cm and a slant height of 13 cm, calculate its LSA.

Q2: A trapezoid prism has a volume of 400 cubic units, and its bases have lengths of 30m and 10m. Find the height.

Q3: Given a trapezoid prism with bases of lengths 5cm, 3 cm, 6cm, 8cm, height of 10 cm and a slant height of 12 cm, calculate its LSA.

Q4: Given a trapezoid prism with bases of lengths 5 cm, 4 cm, 3cm, 6cm, height of 8 cm and a slant height of 12 cm, calculate its TSA.

Q5: Given a trapezoid prism with bases of lengths 3 cm and 4 cm, a height of 5 cm and a depth of 2 cm, calculate its volume.

Trapezoidal Prism

Trapezoid Prism or Trapezoidal Prism is a geometric solid characterized by its unique trapezoidal base and parallel rectangular faces. A trapezoid prism has this special characteristic of having trapezoidal bases, unlike other prisms that may have rectangular or square bases.

In this article, we will understand the concepts of trapezoidal prism, including its definition, properties, construction, and formulas, providing a comprehensive understanding of this three-dimensional shape.

Table of Content

  • What is a Trapezoid Prism?
    • Trapezoidal Prism Definition
  • Trapezoidal Prism Faces, Edges And Vertices
  • Properties of Trapezoidal Prism
    • Cross-Section of Trapezoid Prism
  • Trapezoidal Prism Net
  • Trapezoid Prism Volume
  • Trapezoidal Prism Surface Area
  • Trapezoid Prism Formulas
  • FAQs

Similar Reads

What is a Trapezoid Prism?

Trapezoid Prism is a 3D geometric shape characterized by two parallel trapezoidal bases and rectangular or parallelogram faces connecting the corresponding sides. It belongs to the category of prisms, which are polyhedra with two identical parallel bases and rectangular faces....

Trapezoidal Prism Faces, Edges And Vertices

A trapezoidal prism is a three-dimensional geometric shape characterized by specific features:...

Properties of Trapezoidal Prism

Below listed are the properties of Trapezoidal Prism:...

Trapezoidal Prism Net

The net of a Trapezoid Prism unfolds into trapezoidal and rectangular sections showcasing how the prism can be flattened into a 2D representation. The three-dimensional geometric figure of Trapezoidal Prism is flattened into 2D highlighting the two parallel trapezoidal bases and rectangular faces connecting the corresponding sides....

Shape of a Trapezoid Prism

The trapezoidal shape of the base influences the appearance of the Trapezoid Prism distinguishing it from other geometric solids. The shape of a trapezoid prism includes two parallel trapezoidal bases. Connecting the corresponding sides of the trapezoids are rectangular or parallelogram faces. Also, the connecting faces are perpendicular to the bases forming a solid and closed structure. Thus, it will give Trapezoidal Prism a three-dimensional geometric figure with two parallel trapezoidal bases and rectangular faces connecting the corresponding sides....

Construction of Trapezoid Prism

To construct a Trapezoidal Prism, draw the trapezoidal base on a plane, extend its sides to create the prism’s height and connect corresponding vertices to form rectangular faces. Below are the construction steps of trapezoid prism :...

Applications of Trapezoid Prism

Trapezoid prisms find application in various fields, including: Architecture, Engineering, Geometry Education, Optics etc. Below listed are the applications of Trapezoid Prism:...

Trapezoid Prism Volume

Trapezoid Volume Formula is given as:...

Trapezoidal Prism Surface Area

Like every 3D shape, Trapezoid Prism has two types of surface areas:...

Trapezoid Prism Formulas

The Trapezoid Prism formula includes...

Trapezoid Prism – Solved Examples

Example 1: Given a trapezoid prism with bases of lengths 6 cm and 8 cm, a height of 10 cm, and a slant height of 5 cm, calculate its volume....

Trapezoid Prism – Practice Problems

Q1: Given a trapezoid prism with bases of lengths 7 cm, 5 cm, 4cm, 8cm, height of 12 cm and a slant height of 13 cm, calculate its LSA....

Trapezoid Prism – Frequently Asked Questions

How is a Trapezoid Prism Different from a Rectangular Prism?...

Contact Us