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3) Rhonda wants to build a pendulum clock with the pendulum enclosed in a box with a glass door. Her pendulum will swing through 30 degrees and be 3 feet long. She's decided to use the
length of the arc the pendulum swings through as the width for the box. What will the width be to the nearest tenth of a foot? (The arc is a section of the circumference determined by the
center angle.)
Use  = 3.14 or express your answer in terms of
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4) The Fantastic Island Puzzle consists of colored pieces that are arrangements of 5 balls stuck together. One example is shown. One of the puzzles is to make a tetrahedron (triangular pyramid) whose base is an equilateral triangle that takes 4 balls along an edge as shown. How many pieces are needed to make the tetrahedron?
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5) A wooden triangular prism has two equilateral triangle faces with edge length 10 cm. The long edge of the prism has length 16 cm. Nigel is going to make a smaller prism by making a horizontal cut meeting the midpoints of the two legs of each triangle. What is the area of the new bottom rectangle?
Figure not to scale.
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2) A can is designed to hold three balls with diameter 2 cm exactly as indicated in the diagram.
The can is filled with water. Then the balls are pushed in one at a time keeping the can upright.
How much water remains in the can when the balls are completely in the can? Give your answer to the nearest cubic centimeter or leave