Answer:
1008 [tex]cm^2[/tex]
Step-by-step 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.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
