Question

12. Make a hexagonal pyramid with a base edge of 6 cm, base apothem of 4 cm and pyramid height of 10 cm. You can do it in clay, porcelain or cardboard. (40%) It is supported by the following information • Side area • Total area • Volume • Used material • Elements of the figure outlined or marked.

Answer 1

the volume of the hexagonal prism is 184. 75 cm^3

How to determine the volume of the hexagonal prism

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

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