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Q4 – Test 1 Review – 3-D Geometry1.A wedge has the shape of the prism shown below. Which of the following is the volume of the wedge in cubic inches?(1) 256(2) 384(3) 512(4) 7682. Which figure can have the same cross section as a sphere?1) 2) 3) 4) 3. If the rectangle below is continuously rotated about side w, which solid figure is formed?4692650125095001)pyramid3)cone2)rectangular prism4)cylinder4.A trophy has a rectangular prism as it base and a pyramid that lies on top of the prism. If the monument weighs 2.5 grams per cubic inch, then what is the weight of the monument in grams?(1) 550(2) 675(3) 720(4) 7505.A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal to the radius of the hemisphere removed, what volume remains of the hemisphere?(1) 483 cubic centimeters(2) 536 cubic centimeters(3) 589 cubic centimeter(4) 614 cubic centimeters6.A right, circular cylinder had a diameter of 4 inches and a height of 8 inches. It is filled with liquid that weighs 0.85 ounces per cubic inch. If there are 16 ounces in a pound, then which of the following is a correct statement about the weight of the liquid in the cylinder?(1) it is between 3 and 4 pounds(2) it is between 5 and 6 pounds(3) it is between 8 and 9 pounds(4) it is between 14 and 15 pounds7. If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?1)cone2)pyramid3)prism4)sphere8. A contractor needs to purchase 500 bricks. The dimensions of each brick are 5.1 cm by 10.2 cm by 20.3 cm, and the density of each brick is . The maximum capacity of the contractor’s trailer is 900 kg. Can the trailer hold the weight of 500 bricks? Justify your answer.362204017081500-35752173990009. Find the area of the shaded region:10. Find the volume of the solid if the radius = 711. During an experiment, the same type of bacteria is grown in two petri dishes. Petri dish A has a diameter of 51 mm and has approximately 40,000 bacteria after 1 hour. Petri dish B has a diameter of 75 mm and has approximately 72,000 bacteria after 1 hour.07683500Determine and state which petri dish has the greater population density of bacteria at the end of the first hour.2619911085850011. First, consider the type of shape that is formed57277001225550012. a) The following right triangle is rotated about side AB. What is the resulting figure, and what are its dimensions? b) If the solid was rotated about side BC,What is the resulting figure and its dimensions?13.A plastic container is in the shape of a right, circular cone with a base radius of 12 inches and a total height of 18 inches. The container is filled with water to a depth of 15 inches as shown.(a) What is the volume of the plastic container, to the nearest cubic inch.(b) Determine the radius, r, of the cone of water sitting in the plastic container.(c) How much volume, to the nearest cubic inch, remains unfilled in the plastic container?14.Max is building the following shape using his 3D printer. It consists of a hemisphere, a cylinder, and a cone, all of which have the same diameter of 6 centimeters. The cylinder has a height of 14 centimeters and the cone has a height of 8 centimeters.(a) Determine the volume of the shape to the nearest cubic centimeter.(b) The plastic used to make the shape weighs 0.72 grams per cubic centimeter. What is the weight of the shape to the nearest gram?15. The following solids are similar. The volume of the first solid is 100. Find the volume of the second solid.45461211639020016.A prism with a height of 8 inches has horizontal bases that are right triangles whose legs are 3 inches and 4 inches as shown.(a) Determine the volume of the prism in cubic inches.(b) If the prism was sliced with a horizontal plane, what would be the area of the cross section in square inches? Explain.(c) The front face of the prism, ABCD, is a rectangle. What is its area in square inches?17.A rock monument has the shape of the pyramid shown below which has a square base whose perimeter is 20 inches and has a height of 8 inches.(a) Determine the volume of the pyramid to the nearest cubic inch.4551045629285Rock TypeDensity Quartz33Sandstone41Granite4500Rock TypeDensity Quartz33Sandstone41Granite45(b)Camila is trying to determine the type of material the pyramid is made out of. She weighs the pyramid and finds that it has a weight of 4.9 pounds. She looks up various rock densities in a geology book and finds the following table. Which rock type is the monument most likely made of? [Note: there are 454 grams in a pound.] ................
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