Could you please guide me and help me with these problems?
1. The lateral surface area of a regular pentagonal prism is 360 square feet. The height of the prism is twice the length of one of the edges of the base. Find the surface area of the prism. Round your answer to the nearest hundredth.
2. Describe how multiplying the base-edge lengths by 1/4 and the height by 4 affects the surface area of the right prism.
3. A right cylinder has a surface area of \(\displaystyle 108\pi\) square meters. The radius of the cylinder is twice the height. Write and solve an equation to find the height "h" in meters of the cylinder.
1. The lateral surface area of a regular pentagonal prism is 360 square feet. The height of the prism is twice the length of one of the edges of the base. Find the surface area of the prism. Round your answer to the nearest hundredth.
2. Describe how multiplying the base-edge lengths by 1/4 and the height by 4 affects the surface area of the right prism.
3. A right cylinder has a surface area of \(\displaystyle 108\pi\) square meters. The radius of the cylinder is twice the height. Write and solve an equation to find the height "h" in meters of the cylinder.
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