the volume of the hexagonal prism is 184. 75 cm^3
<h3>How to determine the volume of the hexagonal prism</h3>
It is important to note that the volume of a hexagonal prism is given as;
V = (2/√3) × ap2 × h
Where
- ap is the apothem
- h is the height of the prism
From the information given, we have the values of the following parameters;
height = 10cm
apothem = 4cm
base edge = 6cm
Now, let's substitute the value of the parameters
Volume = (2/√3) × ap^2 × h
Volume = 2/√3 × 4^2 × 10
Multiply through
Volume = 1. 1547 × 16 × 10
Volume = 184. 75 cm^3
Thus, the volume of the hexagonal prism is 184. 75 cm^3
Learn more about a hexagonal prism here:
brainly.com/question/10171109
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