Answer:
The total surface area of the prism is
Step-by-step explanation:
we know that
The two diagonals of a rhombus are perpendicular and bisect each other
All sides are congruent
The surface area of a prism is equal to
where
B is the area of the base of prism
P is the perimeter of the base of prism
h is the height of the prism
step 1
Find the length side of the rhombus
Applying Pythagoras Theorem
we have
c is the length side of the rhombus
a and b are the semi diagonals of the rhombus
substitute
step 2
Find the perimeter of the base P
The perimeter of the rhombus is equal to
step 3
Find the area of the base B
The area of the rhombus is
D1 and D2 are the diagonals of the rhombus
substitute
step 3
Find the surface area of the prism
substitute the values