Question

What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?

Answer 1

Given:

Height of a trapezoidal prism = 10 cm

Base lengths are 3 and 4 cm.

Base height = 2 cm

To find:

The volume of the trapezoidal prism.

Solution:

Base area of a trapezoidal prism

`B=(a+b)/(2)* h`

Where, a,b are base lengths and h is the base height.

Putting
`a=3,b=4,h=2`, we get

`B=(3+4)/(2)* 2`

`B=7`

The volume of a trapezoidal prism is:

`V=Bh`

Where, B is the base area and h is the height of the prism.

Putting
`B=7,h=10`, we get

`V=7* 10`

`V=70`

Therefore, the volume of the trapezoidal prism is 70 cubic cm.