Instructions
Complete these math problems inspired by Genshin Impact and Five Nights at Freddy's. Use geometry and problem-solving skills to find the answers.
Genshin Impact Geometry Quest
1. A circular Hydro elemental attack in Genshin Impact has a radius of 5 meters. What is the area of the attack zone?
2. A rectangular region in Teyvat measures 8 units long and 5 units wide. What is the area of this region?
3. A Pyro potion is shaped like a cylinder with a height of 10 cm and a radius of 3 cm. What is the volume of the potion?
Five Nights at Freddy's Geometry Survival
4. The security office in Freddy's Pizzeria is a rectangle with a length of 12 feet and a width of 8 feet. What is the perimeter of the office?
5. A vent in the pizzeria is circular with a diameter of 4 feet. What is the area of the vent opening?
6. Freddy is 15 meters away from your office door. If he moves 3 meters closer every second, how many seconds will it take for him to reach the door?
Mixed Worlds Geometry Challenges
7. A Genshin Impact shield has a diamond shape with a height of 6 units and a base of 4 units. What is the area of the shield?
8. Freddy's animatronic head is shaped like a cone with a height of 2 feet and a base radius of 0.5 feet. What is the volume of the head?
9. A spiral Abyss platform is shaped like a trapezoid with parallel sides of 10 meters and 6 meters, and a height of 4 meters. What is the area of the platform?
Bonus Puzzle
10. Solve this geometry riddle to unlock a secret chest! A triangle has sides of 7 cm, 8 cm, and 9 cm. What is the perimeter of the triangle?
Extra Credit
Design your own in-game billboard for either Genshin Impact or Five Nights at Freddy's. Calculate the area of your billboard and describe its dimensions in a few sentences.