the surface area of the right triangular prism is 864 . Correct option D. 864
Step-by-step explanation:
Here we have The net of the triangular prism is shown below . We need to find What is the surface area of the right triangular prism . Let's find out:
We have two same triangles , with area = [tex]\frac{1}{2}(base)(height)[/tex]
⇒ [tex]\frac{1}{2}(12)(8)(2)[/tex] { 2 is multiplied as there are 2 triangles }
⇒ [tex]96[/tex]
Now , We have 3 rectangles two of which are same have parameters as :
[tex]length=24\\breadth=10[/tex]
So , area of two rectangles
⇒ [tex]2(length(width))[/tex]
⇒ [tex]2(24(10))[/tex]
⇒ [tex]480[/tex]
And area of other rectangle is :
⇒ [tex]length(width)[/tex]
⇒ [tex]24(12)[/tex]
⇒ [tex]288[/tex]
So , total area = 288+480+96=864
Therefore , the surface area of the right triangular prism is 864 . Correct option D. 864
