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Graded AssignmentUnit Test, Part 2: Surface Area and Volume
Math | Graded Assignment | Unit Test, Part 2 | Surface Area and Volume

Name:

Date:

Unit Test, Part 2: Surface Area and Volume

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

Total score: ____ of 20 points

(Score for Question 1: ___ of 8 points)

1.

A triangular pyramid begins with its vertices locate at the following points:

P 0,5,4 ,Y 2,7,4 , R 0,7,4 , and A 0,7,6

. The pyramid is then reflected over the xz-plane. The reflected

image is then translated 3 units back, 2 units left, and 4 units up.

(a) Write the general rule you use for the reflection.

(b) Show the results of your calculations for the reflection.

(c) Write the general rule you use for the translation. (Hint: Begin with the result of the rule for the reflection.)

(d) Show the results of your calculations for the translation.

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Page 1 of 2

Math | Graded Assignment | Unit Test, Part 2 | Surface Area and Volume

(Score for Question 2: ___ of 12 points)

2.

A prism has total surface area of 360 m2 and volume of 60 m3.

If the length, width, and height are reduced to half their original sizes, what will be the following?

a

the new surface area

(e) the new volume

If the length, width, and height of the original are increased to triple their original sizes, what will be the following?

(f) the new surface area

(g) the new volume

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Paper#9210394 | Written in 27-Jul-2016

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