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4th Six Weeks Common Assessment Review
Vocabulary: Define the words and give a real life example for each.
Surface Area' ,
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Lateral Surface Area:
Perimeter'
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Define the parts of the surface area formulas:
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1. Draw a rectangular prism and shade in the lateral surface area.
2. Draw a triangular prism and shade in the lateral surface area.
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3. Draw a cylinder and shade in the lateral surface area.
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4. Give a real life example for lateral surface area of a prism and lateral surface area of a
cylinder.
5. What is the total surface area of the rectangular prism?
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11 cm
6. A golf ball has a diameter of 1.7 in. What is the volume of the golf ball?
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Hannah needs to wrap a present for her boyfriend for Valentine's Day. How much paper
will she need to cover all of the sides?
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8. What is the relationship between the volume of the cone and cylinder shown below?
Calculate the volume of both, and explain using complete sentences.
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9. A point is located at (-4, 3) and is translated down 7 units. Where is the point located
now? Write an algebraic rule for this transformation.
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10. Describe what happens to a shape during a rotation. What changes? What stays the
same?
11. Write an algebraic rule for each transformation:
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12. Sheet metal cost $1.88 per square foot. About how much will Nick spend to cover the
outside of the shed?
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8 ft
13. What will be the new coordinates of W' after the figure is dilated using a scale factor of
2.5?
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14. A cone has a radius of 4.25 cm and a height of 12 cm. How much water can the cone
hold?
15. What quadrant will the image be in after a 270° counter-clockwise rotation? Answer the
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question and graph the rotation.
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16. Coffee is sold in a cylindrical canister of metal on the bottom and sides, with a plastic lid
for the top. What is the total surface area of the entire canister including the plastic lid?
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13cm
17. Write the algebraic rule for 90° clockwise/270° counter-clockwise rotation, 180°
clockwise/180° counter-clockwise rotation, and 270° clockwise/90° counter-clockwise
rotation.
18. Jessica mows her lawn with this old-fashioned cylindrical mower which rolls across the
lawn as you push. What is the area of the lawn in which the mower will come in contact
after one complete rotation?
19. Find the volume of the cylinder. Be sure to show all your work beginning with writing
down the formula.
10 in.
20. Find the volume of the sphere. Be sure to write down your formula and plug in all your
values. Keep your answer in terms of pi.
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21. Tiffani is creating a label for the ballot box below. The label will cover all of the sides of
the box except the top and bottom. What should the area of the label be?
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7½in
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