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

$B=\dfrac{a+b}{2}\times h$

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

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

$B=\dfrac{3+4}{2}\times 2$

$B=7$

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

$V=7\times 10$

$V=70$

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