Answer:
Area of trapezoidal base = 4 square units.
Step-by-step explanation:
We know that volume of a prism is known as :
[tex]V = B \times h[/tex]
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:
[tex]24 = B \times 6\\\Rightarrow B = \dfrac{24}{6}\\\Rightarrow B = 4 \text { square units}[/tex]
Hence, area of trapezoidal base = 4 square units.
The Area of trapezoidal base = 4 square units.
Since The volume of a trapezoidal prism is 24 cubic units. It's height is 6 units.
Here we know that
Volume of prism = Base (height)
So,
24 = Base (6)
So, here the base should be 4
hence, The Area of trapezoidal base = 4 square units.
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