- Surface Areas
- Home
- Nets of solids
- Surface area of a cube or a rectangular prism
- Surface area of a rectangular prism made of unit cubes
- Distinguishing between surface area and volume
- Using a net to find the surface area of a rectangular prism
- Word problem involving the surface area of a rectangular prism
- Surface area of a triangular prism
- Using a net to find the surface area of a triangular prism

# Surface area of a triangular prism

In this lesson, we learn how to find the surface area of a triangular prism.

A **triangular prism** is a prism that has two congruent triangles as its bases connected by three rectangular lateral faces.

The **surface area** of the triangular prism is the sum total of the areas of its bases and its lateral faces.

**Formula to find the surface area of a triangular prism**

The Surface Area = 2 B + p h

where,

**B** is the area of the triangular base of prism

**p** perimeter of the base and

**h** the height of the prism

Find the surface area of the following triangular prism.

### Solution

**Step 1:**

Area of triangle base A = 17.34 sq ft; height of prism h = 3.3 ft

**Step 2:**

Surface area of triangular prism = 2A + (a + b + c )h

= 2 × 17.34 + (6.8 + 8.5 + 5.1) × 3.3

= 102 square ft

Find the surface area of the following triangular prism.

### Solution

**Step 1:**

Area of triangle base A = 3.84 sq yd; height of prism h = 4.3 yd

**Step 2:**

Surface area of triangular prism = 2A + (a + b + c)h

= 2 × 3.84 + (2.4 + 3.2 + 4) × 4.3

= 48.96 square yd