Answer:
The surface area of the prism is 252 square units
Step-by-step explanation:
we know that
The surface area of the prism is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base
L is the length or the height of the prism
step 1
Find the area of the triangular base B
The area of triangular base B is
[tex]B=\frac{1}{2}(8)(6)=24\ units^2[/tex]
The perimeter of the triangular base P is
[tex]P=8+6+10=24\ units[/tex]
we have
[tex]L=8.5\ units[/tex]
substitute the values in the formula
[tex]SA=2(24)+24(8.5)=252\ units^2[/tex]
