Graded Assignment

Unit Test, Part 2: Area and Volume

Answer the questions below. When you are finished, submit this test to your teacher for full credit.

Total score: ____ of 15 points

(Score for Question 1: ___ of 5 points)

1. Josiah is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 12 in and the height of the pyramid is 14in. To get the wax for the candle, Josiah melts cubes of wax that are each 6 in by 6 in by 6 in. How many of the wax cubes will Josiah need in order to make the candle? Show your work.

Answer:

(Score for Question 2: ___ of 5 points)

1. Rectangle ABCD has length 3 ft and width 6 ft. Rectangle PQRS is made by applying a scale factor of 5 to Rectangle ABCD.
2. Are Rectangle ABCD and Rectangle PQRS similar? Why or why not?
3. Calculate the area of Rectangle ABCD. Show all your work.
4. Calculate the area of Rectangle PQRS. Show all your work.
5. How does the area of Rectangle PQRS compare to Rectangle ABCD? Explain the relationship to the scale factor.

Answer:

(Score for Question 3: ___ of 5 points)

1. A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism.
3. Is similar to ? Explain.
4. Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.

Answer: