Pyramid tents were popular for a time during the 19th century. Although their popularity declined during the 20th century, they have recently begun to regain popularity. The design is ideal for shaping canvas, and it only requires one pole and some stakes to secure it. Joe wants to make a right square pyramid tent and is considering two different sizes. He will either make one with a base that is 10 feet by 10 feet and has a height of 12 feet, or he will make one with a base that is 12 feet by 12 feet and has a height of 8 feet. 1. Sketch the two pyramid designs Joe is considering and label them with the given measurements.
2. How can you determine which pyramid tent will have the most interior space?
3. Calculate the volume of each proposed pyramid tent. Show your work.
4. Which tent would you recommend Joe make? Explain your reasoning.