Trapezoidal Prism Surface Area
Like every 3D shape, Trapezoid Prism has two types of surface areas:
- Lateral Surface Area of Trapezoid Prism
- Total Surface Area of Trapezoid Prism
Lateral Surface Area of Trapezoid Prism
Lateral surface area of trapezoid prism is given by:
LSA = (a + b + c + d) × H
where a, b, c, d are the lengths of the trapezoidal bases and h is the height.
Example: Given H = 6 meter and the sides of trapezoidal are a = 4m, b = 3m, c = 5m and d = 8m then find the LSA of the trapezoid prism.
Solution:
Lateral Surface Area (LSA) of trapezoid prism is calculated by formula:
LSA = (a + b + c + d) × H
Substitute values in the above formula, we get:
LSA = (4 + 3 + 5 + 8) m × H
⇒ LSA = (4 + 3 + 5 + 8) m × H
⇒ LSA = 20 m × (6)m
⇒ LSA = 120 m2
Total Surface Area of Trapezoid Prism
Total surface area of trapezoid prism is given by:
TSA = h (b + d) + l (a + b + c + d)
where a, b, c, d are the lengths of the trapezoidal bases, h is the height and l is the slant height.
Example: Given height = 5m, slant height = 10m and the sides of trapezoidal are a = 4m, b = 6m, c = 5m and d = 8m then find the TSA of the trapezoidal prism. Then Calculate the Total Surface Area (TSA) of trapezoid prism.
Solution:
Total Surface Area (SA) of trapezoid prism is calculated by formula:
TSA = h (b + d) + l (a + b + c + d)
Substitute values in the above formula, we get:
TSA = h (6m + 4m) + l (4m + 6m + 5m + 8m)
⇒ TSA = h×(10m) + l×(23m)
⇒ TSA = 5m × (10m) + 10m × (23m)
⇒ TSA = 50m2 + 230m2
⇒ TSA = 280m2
Also Read,
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
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