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Area, Surface Area, & Volume

1. 



Note: Figure is not drawn to scale

If X = 20 units, Y = 24 units, Z = 8 units, and h = 16 units, then what is the surface area of the triangular prism shown above?














A.

640 units2



B.

896 units2



C.

672 units2



D.

1,280 units2

Write your response here:
(show your work)






2. 

Note: Figure not drawn to scale.


If r = 8 units and X = 5 units, then what is the volume of the cylinder shown above?











A.

144 cubic units



B.

208 cubic units



C.

512 cubic units



D.

320 cubic units

Write your response here:
(show your work)






3. 

Note: Figure not drawn to scale.

If r = 6 units and X = 13 units, then what is the total surface area of the cylinder shown above?










A.

936 square units



B.

228 square units



C.

540 square units



D.

192 square units

Write your response here:
(show your work)






4. 

The diagram shows a walkway surrounding four identical square picnic areas.


Note: Figure not drawn to scale

If the entire diagram is a square, what is the area, in square feet (sq ft), of the walkway?



Asquare = s2












A.

2,500 sq ft



B.

4,896 sq ft



C.

7,396 sq ft



D.

6,771 sq ft

Write your response here:
(show your work)






5. 



Note: Figure is not drawn to scale

If X = 5 units, Y = 6 units, Z = 10 units, and h = 4 units, then what is the surface area of the triangular prism shown above?











A.

208 units2



B.

114 units2



C.

104 units2



D.

184 units2

Write your response here:
(show your work)






6. 

Note: Figure not drawn to scale.


Height has been rounded for computational ease.

If h = 9 units, X = 9 units, Y = 5 units, and Z = 16 units, then what is the volume of the triangular prism shown above?











A.

360 cubic units



B.

720 cubic units



C.

648 cubic units



D.

413 cubic units

Write your response here:
(show your work)






7. 

Note: Figure not drawn to scale.


If r = 4 units and X = 7 units, then what is the volume of the cylinder shown above?











A.

64 cubic units



B.

72 cubic units



C.

88 cubic units



D.

112 cubic units

Write your response here:
(show your work)






8. 

Note: Figure not drawn to scale.

If r = 4 units and X = 9 units, then what is the total surface area of the cylinder shown above?










A.

176 square units



B.

88 square units



C.

288 square units



D.

104 square units

Write your response here:
(show your work)






9. 

Francisco cut a circle with a radius of 1.5 inches out of a triangle, as shown.


Note: Figure not drawn to scale

What is the area of the remaining shaded region of the triangle?
















A.





B.





C.





D.



Write your response here:
(show your work)






10. 



Note: Figure is not drawn to scale

If X = 6 units, Y = 17 units, and Z = 5 units, then what is the surface area of the rectangular prism shown above?











A.

510 units2



B.

217 units2



C.

434 units2



D.

502 units2

Write your response here:
(show your work)







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