Answer:
Part a) The lateral area of the prism is
Part b) The surface area of the prism is
Step-by-step explanation:
Part a) What is the lateral area of the prism?
we know that
The lateral area of the prism is
where
P is the perimeter of the base
H is the height of the prism
we have
The perimeter of the base is
<em>Find the hypotenuse of the right triangle</em>
Applying the Pythagoras Theorem
<em>Find the perimeter of the base P</em>
<em>Find the lateral area of the prism</em>
Part b) What is the total surface area?
The total surface area is
where
LA is the lateral area
B is the area of the base
<em>Find the area of the base</em>
Remember that the base is a triangle so
we have
substitute
<em>Find the surface area of the prism</em>
we have
substitute