
Note: Figure is not drawn to scale

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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 units^{2}


B.

896 units^{2}


C.

672 units^{2}


D.

1,280 units^{2}

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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

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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

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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?



A.

2,500 sq ft


B.

4,896 sq ft


C.

7,396 sq ft


D.

6,771 sq ft

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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 units^{2}


B.

114 units^{2}


C.

104 units^{2}


D.

184 units^{2}

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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

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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

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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

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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?


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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 units^{2}


B.

217 units^{2}


C.

434 units^{2}


D.

502 units^{2}

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