**Introduction about trapezoidal prism:**

Prism is a three dimensional object. The name of the prism depends upon its base. If it bases are rectangular it is a rectangular prism. If it bases are triangle. It is a triangular prism. The space occupied by the trapezoidal prism is called as volume of trapezoidal prism. The geometric volume may be expressed by cubic unit. Let us see about how to calculate the volume of trapezoidal prism with example problems.

- Volume of trapezoidal prism = l x CSA cubic units

l – Length of trapezoidal prism

CSA= cross sectional area

CSA= 1/2 x (a + b) x h

a and b are length of parallel sides.

h – Height

- Find the volume trapezoidal prism whose length 9cm, height 5cm, length of parallel sides 5cm and 3cm.

Solution:

Given:

Length (l) = 9cm

Height (h) = 5cm

Parallel sides a=5cm and b=3cm

Formula:

Volume of trapezoidal prism = l x CSA cubic units

CSA:

CSA= 1/2 x (a + b) x h

= 1/2x (5 + 3) x 5

=1/2 x 8 x 5

= 20.00 cm^{2}

Volume of trapezoidal prism = 9 x 20.00

= 180.00

Volume of trapezoidal prism = 180.00 cm^{3}

2.Find the volume trapezoidal prism whose length 12cm, height 6cm, length of parallel sides 4cm and 2cm.

Solution:

Given:

Length (l) = 12cm

Height (h) = 6cm

Parallel sides a=4cm and b=2cm

Formula:

Volume of trapezoidal prism = l x CSA cubic units

CSA:

CSA= 1/2 x (a + b) x h

= 1/2x (4 + 2) x 6

=1/2 x 6 x 6

= 18.00 cm^{2}

Volume of trapezoidal prism = 12 x 18.00

= 216

Volume of trapezoidal prism =216 cm^{3}

3. Find the volume trapezoidal prism whose length 13.8 m, height 7.7 m, length of parallel sides 6cm and 4 m.

Solution:

Given:

Length (l) = 13.8 m

Height (h) = 7.7 m

Parallel sides a=6 m and b=4 m

Formula:

Volume of trapezoidal prism = l x CSA cubic units

CSA:

CSA= 1/2 x (a + b) x h

= 1/2x (6 + 4) x 7.7

=1/2 x 10 x 7.7

= 38.5 m^{2}

Volume of trapezoidal prism = 13.8 x 38.5

= 531.

Volume of trapezoidal prism =531 m^{3}