GRIDDED RESPONSE

11. The net of a cereal box is shown below. What is the surface area in square inches?

    

12. A polyhedron has 10 vertices and 7 faces. How many edges does the polyhedron have?
13. The radius of a sphere with a volume of 2  m 3 2 , m cubed  is quadrupled. What is the volume of the new sphere in cubic meters?

14. Molly stands at point A directly below a kite that Kat is flying from point B. Kat has let out 130 ft of the string. Molly stands 40 ft from Kat. To the nearest foot, how many feet from the ground is the kite?

    

15. The figure below shows a cylindrical tin. To the nearest square centimeter, what is the surface area of the tin?

    

16. A regular octagon has a side length of 8 m and an approximate area of 309  m 2 . 309 , m squared , .  The side length of another regular octagon is 4 m. To the nearest square meter, what is the approximate area of the smaller octagon?

17. The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter of this trapezoid is 44 units, what is its area in square units?

    

18. What is the surface area, in square centimeters, of a rectangular prism that is 9 cm by 8 cm by 10 cm?

Short Response

19. A great circle of a sphere has a circumference of 3π cm. What is the volume of the sphere in terms of π? Show your work.
20. Anna has cereal in a cylindrical container that has a diameter of 6 in. and a height of 12 in. She wants to store the cereal in a rectangular prism container. What is one possible set of dimensions for a rectangular prism container that would be close to the volume of the cylindrical container? Show your work.

21. What is the length of A B ⌢ modified eh b with frown above  interms of π? Show your work.

    

Extended Response

22. A log is cut lengthwise through its center. To the nearest square inch, what is the surface area of one of the halves? Explain your reasoning.

    

23. When airplane pilots make a visual sighting of an object outside the airplane, they often refer to the dial of a clock to help locate the object. For example, an object at 12 o'clock is straight ahead, an object at 3 o'clock is 90 ° 90 degrees  to the right, and so on.

    Suppose that two pilots flying two airplanes in the same direction spot the same object. Pilot A reports the object at 12 o'clock, and Pilot B reports the object at 2 o'clock. At the same time, Pilot A reports seeing the other airplane at 9 o'clock.

    Draw a diagram showing the possible locations of the two planes and the object. If the planes are 800 ft apart, how far is Pilot A from the object? Show your work.

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