Question

How do you find the volume of a hexagonal prism?

Answer 1

Hint: In the given question, we have been given the name of a shape. We have to find the volume of that shape. First, we draw the figure of the given shape. To calculate the value of the given shape, we multiply the area of the base of the given shape with the height of the given shape. And that is going to give us the required volume of the given shape.

Formula Used:
In this question, we are going to use the formula of area of hexagon, which is:
\[\dfrac{{3\sqrt 3 }}{2} \times {a^2}\] square units

Complete step-by-step answer:
First, let us draw the shape.

The base of the shape is clearly a hexagon.
Now, we calculate the required value by multiplying the area of the base with the height of the figure.
Now, area of the base, which is the area of the hexagon is:
\[A = \dfrac{{3\sqrt 3 }}{2} \times {a^2}\]
And, the height of the figure is, say \[H\].
Hence, the volume is
$\Rightarrow$ \[V = A \times H\]
By substituting the values we get,
or, \[V = \dfrac{{3\sqrt 3 \times {a^2}}}{2} \times H\] cubic units

Note: In the given question, we had to figure out a formula for the volume of a hexagonal prism. We first drew the image, which gave us an idea of the base of the figure. Then we wrote the formula of the base of the figure, multiplied it with the height of the given figure and that gave us the answer.