Question

The volume of a trapezoidal prism is 24 cubic units. It's height is 6 units, as labeled. What is the area of a trapezoidal base of this prism?

Answer 1

Answer:

Area of trapezoidal base = 4 square units.

Step-by-step explanation:

We know that volume of a prism is known as :

$V = B \times h$

where B is Area of Base  

and h is Height of prism

NOTE: Formula for Volume of a prism can be generalized as above irrespective of the type of base it has (base can be of type triangle, rectangle, square or trapezoidal etc).

Here, we are given that Base is trapezoidal.

h is 6 units and

Volume V is 24 cubic units.

And we have to find out the value of B.

Putting the above values in above formula:

$24 = B \times 6\\\Rightarrow B = \dfrac{24}{6}\\\Rightarrow B = 4 \text { square units}$

Hence, area of trapezoidal base = 4 square units.