Answer:
Tent in the shape of prism will require more nylon than tunnel shaped tent.
Step-by-step explanation:
he given question is incomplete without figure; here is the attachment of the question.
First shape in the given picture is in the shape of a prism with all sides 8 ft and second shape is in the shape of a half cylinder with length 8 ft and radius 4 ft.
Amount of nylon required for prism shape tent = Area of all square sides + area of triangular sides
= 3(Side)² + [tex]2\times \frac{\sqrt{3}}{4}(\text{side})^{2}[/tex]
= 3(8²) + [tex]\frac{\sqrt{3}}{2}\times 64[/tex]
= [tex]192 + 55.43[/tex]
= 247.43 square feet
Amount of nylon required for the tent in the tunnel shape
= [tex]\pi rh+2(\frac{1}{2}\pi r^{2})+(Side)^{2}[/tex]
= [tex]\pi (4)\times 8+\pi (4^{2})+8^{2}[/tex]
= 32π + 16π + 64
= 48π + 64
= 214.86 square feet
Therefore amount of nylon required for tunnel tent will be less than the tent in prism shape.
