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Prisms are geometric solids that come in many different shapes and an infinite number of sizes. Prism are often distinguished by the shape of their base polygon. A prism having trapezoid base faces is called a trapezoidal prism.  |
Volume of a Trapezoidal Prism Formula
The volume of a prism is given by the formula,V = Al
Where A is the area of the base of the prism and 'l' is the length or height of the prism.
=> Area of trapezoidal prism = $\frac{1}{2}$h(a + b)
=> Volume of the Trapezoidal Prism = $\frac{1}{2}$h(a + b) x l
= $\frac{1}{2}$h(a + b)l
Formula:
Volume of the Trapezoidal Prism = $\frac{1}{2}$h(a + b)l
Where, a = Length of the top, b = Length of the bottom, h = Height of the trapezoidal and l = Height of the prism. 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.