Given:
Consider the below figure attached with this question.
To find:
The surface area of this solid prism.
Solution:
The surface area of this solid prism is
[tex]A=P\times h+2B[/tex]
Where, P is the perimeter of the base, B is the area of the base and h is the height of the prism.
Perimeter of the base is:
[tex]P=6+8+10[/tex]
[tex]P=24[/tex]
Area of the base is:
[tex]B=\dfrac{1}{2}\times base\times height[/tex]
[tex]B=\dfrac{1}{2}\times 8\times 6[/tex]
[tex]B=24[/tex]
Putting [tex]P=24[/tex] and [tex]B=24[/tex] in the formula for area, we get
[tex]A=(24)\times 9+2(24)[/tex]
[tex]A=216+48[/tex]
[tex]A=264[/tex]
Therefore, the surface area of the given prism is 264 m².
