ahexagon have the apothem of 6cm,the side length of6.93,and the height of 12cm. what is the volume?
To find the volume of a hexagonal prism, we can follow these steps:
Step 1: Determine the area of the hexagon base
To find the area of a regular hexagon, we can use the formula:
Area = (3 * √3 * s^2) / 2
where s represents the length of a side of the hexagon.
In this case, the side length is given as 6.93 cm. So, we can plug this value into the formula:
Area = (3 * √3 * 6.93^2) / 2
Step 2: Calculate the volume
The volume of a prism is given by the formula:
Volume = Base Area * Height
In this case, the area of the hexagon's base is given by the formula from Step 1. The height of the hexagonal prism is given as 12 cm.
So, we can multiply the calculated area from Step 1 by the height to find the volume:
Volume = Area * Height
Now, let's calculate the volume.