Answer:
Step-by-step explanation:
In this case total surface area of the prism is the sum of each of the areas of the sides of the triangular prism including the base. In order to find out the exact numerical value of the total surface area we can sum up the areas of each of the sides including the base.
the prism has 5 sides as it is triangular, so we have five values of area.
Let A1 and A2 be area of the triangular sides. A1=A2
A3 be the base area
A4 be the slant side's area
A5 be the area of the side with 6cm height
A1=A2=(8*6)/2=24cm^2
A3=8*4=32cm^2
A4=10*4=40cm^2
A5=6*4=24cm^2
A=A1+A2+A3+A4+A5
A=24+24+32+40+24=144cm^2