This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the shape of the crosssection?

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1 Geometry EOC (GSE) Quiz Equations and Measurement - (MGSE9-12.G.GMD.4) Identify Shapes, (MGSE9-12.G.MG.1) Describe Objects, (MGSE9-12.G.MG.2) Density Concepts, (MGSE9-12.G.MG.3) Geometric Methods 1) Student Name: Teacher Name: Sunil Dudeja Date: Score: This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the shape of the crosssection? A) rectangle. B) rhombus. C) square. D) triangle. 2) A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section. A) pentagon B) rectangle C) trapezoid D) triangle 3) 1/5

2 A plane intersects a rectangular prism as shown. Describe the cross-section. A) circle B) rectangle C) trapezoid D) triangle 4) This pentagonal prism is cut by the plane shown. The plane is parallel to the base of the pentagonal prism. What is the shape of the cross-section? A) hexagon. B) pentagon. C) rectangle. D) triangle. 5) The batteries in the diagram best resembles what geometric solid? A) cone B) cylinder C) pyramid D) sphere 2/5

3 6) The glass object in the picture is a science beaker. Which shape does the beaker MOST resemble? A) circle B) sphere C) cylinder D) prism 7) If two dice are placed end to end, which shape have the dice formed? A) cone B) cylinder C) polygon D) prism 8) The vertices on the snowflake pictured form what kind of geometric figure? A) decagon B) hexagon C) pentagon D) triangles 9) Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming pool, in terms of cubic feet, does Mariana have? Round your answer to the nearest cubic foot. A) 3 ft 3 B) 2,933 ft 3 C) 34,091 ft 3 D) 165,000 ft 3 3/5

4 10) Density is mass divided by volume. Find the density of an aluminum block with a mass of 35 grams and a volume of 14 cm 3?. A) 0.4 g/cm 3 B) 2.5 g/cm 3 C) 11 g/cm 3 D) 490 g/cm 3 11) Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar? A) 30 in 3 B) 75 in 3 C) 500 in 3 D) 750 in 3 12) At Macon County High School, a classroom is 400 ft 2. After the teacher sets up her desk, computer, and podium, there are 250 ft 2 left for student desks. If each desk takes up 8 ft 2 of room, how many desks can fit in the classroom? A) about 19 B) about 25 C) about 31 D) about /5

5 13) A stained glass window has been designed in the pattern shown using regular polygons. Find the measure of the marked angle. A) 60 B) 90 C) 150 D) ) Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If the pen costs $1 per square foot, what is the biggest pen (in terms of the radius) that she can afford? Round your answer to the nearest hundredth of a foot. A) 7.96 feet B) feet C) feet D) feet 15) A jewelry designer is working with a design that is a regular hexagon inscribed in a circle. He needs to cut a diamond to fit into each of the triangles shown. What is the measure of the indicated angle? A) 30 B) 45 C) 60 D) ) A steel plant has two sources of ore, source A and source B. In order to keep the plant running, at least three tons of ore must be processed each day. Ore from source A costs $20 per ton to process, and ore from source B costs $10 per ton to process. Costs must be kept to no more than $80 per day. Moreover, Federal Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 300 lbs of steel per ton, and ore from source B yields 400 lbs of steel per ton, how many tons of ore from each source should be processed each day to maximize the amount of steel produced? A) 1 ton from source A, 2 tons from source B B) 2 tons from source A, 4 tons from source B C) 3 tons from source A, 0 tons from source B D) 4 tons from source A, 0 tons from source B 5/5