Question

Part 3: Construct a prism from the above regular hexagon. The height of the hexagonal prism is 5 feet. Find the surface area and the volume of this prism.

Answer 1

The volume of the hexagonal prism is the amount of space in it.

• The surface area is 369.9 square feet
• The volume is 831.4 cubic feet

How to determine the surface area?

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

$A=6lh+3l^2\sqrt 3$

So, we have:

$A=6*8*5+3*5^2\sqrt 3$

Evaluate

$A = 369.9$

Hence, the surface area is 369.9 square feet

How to determine the volume?

The volume of the hexagonal prism is:

$V = \frac{3\sqrt 3}{2} * l^2h$

So, we have:

$V = \frac{3\sqrt 3}{2} * 8^2 * 5$

Evaluate

$V = 831.4$

Hence, the volume is 831.4 cubic feet

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