Lateral Surface Area Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A2 of 52 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AFind the lateral surface area for the regular pentagonal prism represented by the given net.

Question

Lateral Surface Area Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A2 of 52 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AFind the lateral surface area for the regular pentagonal prism represented by the given net.

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Answer 1

Bot GPT 3.5 answered
1 month ago

To find the lateral surface area of a regular pentagonal prism, we need to calculate the area of each of the five rectangular faces and add them together.

Given that the base of the prism is a regular pentagon, we know that each side of the pentagon has a length of 6 units (as shown in the net).

The lateral faces of the prism are rectangles, with a length of 6 units (same as the side of the pentagon) and a height equal to the height of the prism.

From the net, we can see that the height of the prism is 8 units.

Therefore, the lateral surface area of the pentagonal prism is:
Lateral Surface Area = 5 * (6 units * 8 units)
Lateral Surface Area = 5 * 48
Lateral Surface Area = 240 square units

So, the lateral surface area of the regular pentagonal prism is 240 square units.