The

surface area of a prism is a sum of its equal bottoms and top faces plus areas of its side's faces. The surface area of a right trapezoidal prism with a bottom equal to a trapezoid with bases 'a' and 'b', other sides 'c','d' and an altitude 'h', which side edge is 'l', be represented by formula a(l + h) + b(l + h) + lc + ld.

### Surface Area of a Trapezoidal Prism Formula

For any prism,

Surface Area of a Prism = L + 2A

Where, L is the lateral surface area and A is the base area of the prism.

Lateral Surface area of the trapezoidal prism (L) = la + lb + lc + ld

and area of bases of the trapezoidal prism (A) = 2 x

$\frac{1}{2}$(a + b)h

Because, area of a trapezium =

$\frac{1}{2}$(a + b)h

Surface area = Sum of area of all face are of the prism

=> SA = (a + b)h + la + lb + lc + ld

= a(l + h) + b(l + h) + lc + ld.

**Formula:**

Surface Area of a Trapezoidal Prism = a(l + h) + b(l + h) + lc + ld.

Where,

a, b, c, d are sides of the trapezium.

h = Altitude and l = Height of the prism.