Question

Work out the surface area of this triangular prism

Answer 1

1008
`cm^2`

Explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

`Area\ of\ rectangle = Length * Width`

The formula for Total Surface Area of a triangular prism is given as:

`TSA = 2 * \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 * (1)/(2)* Base * Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 * 12 + 15 * 20+ 13 * 20+ 14 * 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2`

So, the total surface area of the given triangular prism is 1008
`cm^2`.