To find the lateral surface area of a regular pentagonal prism, you need to find the perimeter of the base and then multiply it by the height of the prism.
1. Start by finding the perimeter of the base. Since a regular pentagon has all sides of equal length, you can use the formula for the perimeter of a regular polygon: perimeter = number of sides * side length. For a regular pentagon, the number of sides is 5.
2. Next, calculate the height of the prism. This is the distance between the two parallel bases of the prism.
3. Once you have both the perimeter of the base and the height of the prism, multiply them together to get the lateral surface area of the prism.
For example, if the side length of the pentagon is 4 cm and the height of the prism is 6 cm, here's how you would calculate the lateral surface area:
Perimeter of the base = 5 * 4 = 20 cm
Height of the prism = 6 cm
Lateral surface area = Perimeter of the base * Height of the prism
= 20 cm * 6 cm
= 120 cm²
Therefore, the lateral surface area of the regular pentagonal prism is 120 square cm.
Find lateral surface area for regular pentagonal prism
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