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Math Challenge: Surface Area, Volume, and Scale Factor

Test your geometry knowledge with questions on surface area, volume, and scale factor in this interactive quiz. Can you solve them all?

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Math Challenge: Surface Area, Volume, and Scale Factor

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  1. Jeopardy Scale Factor Surface Area Misc. Volume Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300

  2. $100 Question from Surface Area What is the surface area of the following rectangular prism?

  3. $100 Answer from Surface Area 94 cm²

  4. $200 Question from Surface Area • Two rectangular prisms have the same volume, which is 200 m3. Both prisms have whole number side lengths. • One has the least surface area possible, what is its dimensions? • The other has the most surface area possible, what is its dimensions?

  5. $200 Answer from Surface Area

  6. $300 Question from Surface Area

  7. $300 Answer from Surface Area

  8. $100 Question from Volume

  9. $100 Answer from Volume

  10. $200 Question from Volume Find the volume of the following figure.

  11. $200 Answer from Volume

  12. $300 Question from Volume

  13. $300 Answer from Volume

  14. $100 Question from Scale Factor Kirk has a compost box with dimensions 1 foot by 2 feet by 2 feet. He wants to increase the size of his compost box by a scale factor of 2. If the surface area of the original box is 16 ft2, what is the surface area of the new box?

  15. $100 Answer from Scale Factor SA = 64 ft2 (4 times)

  16. $200 Question from Scale Factor Dan says if he orders 2 pizzas with a radius of 5cm, then they would give the same length of crust as the pizza on the left, is he correct? Show your work. 10 cm

  17. $200 Answer from Scale Factor

  18. $300 Question from Scale Factor

  19. $300 Answer from Scale Factor

  20. $100 Question from Misc. What is the name of the 3-D shape made with the net below?

  21. $100 Answer from Misc. Pentagonal prism

  22. $200 Question from Misc. Rectangular prism is cut through like below. What are the resulting two 3-D shapes?

  23. $200 Answer from Misc. Quadrilateral/Trapezoidal prism and triangular prism.

  24. $300 Question from Misc.

  25. $300 Answer from Misc.

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