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Formative - Unit 5 Assessment (Geometry)
Multiple Choice. Each question is worth 3 points. Partial credit may be awarded if work is shown. If there is no work
shown and the answer is incorrect, you will recieve no credit.
Section Total: 9 points
____
1. What is the volume of a sphere with a radius of 10 cm?
a. 4188.79 cm³
c. 1675.52 cm³
b. 418.88 cm³
d. 33510.32 cm³
____
2. What is the surface area of the figure shown below?
a. 324 cm²
b. 312 cm²
____
c. 648 cm²
d. 336 cm²
3. Find the total area of the ring shown below.
a. 51.1 in²
b. 65 in²
c. 204.2 in²
d. 15.7 in²
Protractor Section. Use of a protractor is required for all questions in the part. Complete all three parts of each
question. Each question is worth 6 points. Section Total: 12 points
4. a) Draw an angle of 163º in the space below.
b) Label the angle as
in your diagram above.
c) Classify the angle by its size on the line to the right. ___________________
5.
a) Measure the angle and record the measurement on the line to the right. __________________
b) Label the angle as
in the picture above.
c) Classify the angle by its size on the line to the right. __________________
Applications. Each question in this part is worth 6 points. Each question is structured to help you see all steps you
must complete. All work must be shown for full credit.
Section Total: 18 points
6. How many boxes 16 in. by 12 in. by 10 in. will fit in 1250 ft³ of warehouse space?
(1 ft³ = 1728 in³)
.
7. How much wire is needed to anchor a 30 foot pole to a spot 20 feet from its base? Allow
of a foot for
fastening and round your answer to the nearest tenth of a foot.
a) Find the length of the wire
b) Find the total length needed for fastening, and round your answer appropriatly
.
8. What must be the height of a cylindrical 750-gallon tank if it is 4 ft in diameter? (1 ft³ 7.48 gal) Round to
the nearest foot.
a) Look at the units of your answer. If you need to convert to a new unit, do so first.
b) Determine the shape and what formula you will use. (Write it below)
c) Substitute all values that you know into the formula and solve for whichever value is missing.
(Include units)
.
Calculations. Each question is worth 4 points. All work must be shown for full credits. Total: 16 points
9.
(figure not drawn to scale)
Find the measure of the missing angles.
________º
________º
10. Find the lateral area and round to the nearest tenth. Include units in your answer.
11. Find the volume of the figure shown and round your answer to the nearest thousandths. Include
units in your answer.
12.
a) Find the area of the figure above (include units) ___A =______________________
b) Find the perimeter of the figure above (include units) _P =_______________________
Formative - Unit 5 Assessment (Geometry)
Answer Section
MULTIPLE CHOICE
1. ANS: A
2. ANS: C
3. ANS: A
PTS: 1
PTS: 1
PTS: 1
SHORT ANSWER
4. ANS:
drawing, labelling, obtuse
PTS: 1
5. ANS:
112º, labelling, obtuse
PTS: 1
PROBLEM
6. ANS:
1125 boxes
PTS: 1
7. ANS:
36.4
PTS: 1
8. ANS:
8 in.
PTS: 1
ESSAY
9. ANS:
85, 125
PTS: 1
10. ANS:
59.2 ft²
PTS: 1
11. ANS:
443.488 mm³
PTS: 1
12. ANS:
145 in², 74 in.
PTS: 1