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Geometric Relationships Review

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    CRVA Math III Review
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  • The map shows the location of an airport and warehouse. There is also a factory 64 miles north of the warehouse. A truck travels from the warehouse to the airport, then to the factory. What total distance did it travel?
    128 miles
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  • What is the length of the missing side length of the window frame?
    20 in
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  • The left of a right triangle is 3 units and the hypotenuse is 6 units. What is the length, in units, of the other leg of the triangle?
    5.20 units
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  • The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone?
    1.15 inches
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  • PQRS is a rectangle. LMNO is a square. Sam says the length of SQ is twice the length of OM. Is Sam correct? Explain for full points.
    No. OM is 8.49 units and SQ is 13.42 units.
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  • What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches?
    113.04 cubic inches
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  • The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. What is the length of AB?
    4.58 mi
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  • What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units?
    4.24 units
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  • The legs of a right triangle are 3 units and 7 units. What is the length of the hypotenuse?
    7.62 units
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  • Sylvia calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which Triangle is it?
    C
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  • The length of one wall in a room is 17 feet. The length of the diagonal of the floor of the room is 18.79 feet. Is the room a square or rectangle? Explain for full points.
    Rectangle - the length of the other wall is 8 feet
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  • What is the distance (in units) between point C and D?
    5.66 units
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  • A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches. What is the relationship between their volumes?
    They are equal: 251.2 cubic inches.
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