1. If a cone has a height of 15 mm and a volume of 147a mm find the diameter of the circular base. 10.84 mm 4.39 mm 13.61 mm 1.37 mm O None of the above 2. Find the surface area of a cube that has a volume of 2744 cms. 1182 cm2 1176 cm2 1199 cm2 1194 cm2 None of the above 3. The following image shows four cross sections through a cylinder. a b C Cylinder Which shape listed below will result from cross section b? rectangle O circle O half ellipse O hexagon O ellipse O None of the above4. A shoe compangpr needs to create a shoe box to t larger sizes of shoes. They want the shoe boar to be similar to a smaller boar they,r already have for children's shoes. This box has a length of 10 inches, 3 width of 4 inches. and a height of 4 inches. If the new shoe box has a length of 3|], calculate the new width and height in order to make the new box similar to the old box, Width = 4: inches Height = inches 5. 1Which of the following also describes a tetrahedron? 0 regular triangular pyramid regular polygon O 6. Calculate the surface area of a regular triangular pyramid with base edges of length 16 meters and a slant height of 12 meters. {Hint Remember that the base of a regular triangular pyramid must be an equilateral triangle, not necessarily congruent to the sides of the pyramid.) Q 337.59m2 O sacssm2 O 398.85m3 O 392.171.:12 0 None of the above 7. How many faces does a hexahedron have? faces 8. There are two types of boxes that Jana is using for storage. The one has a side length of 9 and the other has a side length of 12. What is the ratio the volume of the first kind of box to the volume of the second kind of box? Ratio = 9. Calculate the volume of a sphere with a radius of 24 mm. V = Vx mm 10. Which solid, no matter at which angle you cut it, will always have a circle for a cross section? Cylinder O Circle O Icosahedron O Sphere 11. Which cross section of the following solid takes the shape of a triangle? a d b Square Pyramid cross section a O cross section b O cross section c O cross section d12. Calculate the volume of the cone shown where f = 24 and g = 35. 15353.74 units O 15374.45 units 15357.55 units O 15366.45 units None of the above 13. A tomato sauce company currently sells tomato sauce in a cylindrical can that has a radius of 4 cm and a height of 9 cm. They have plans to use larger cans to sell tomato sauce in bulk. The new cylindrical cans are to be similar to the original cans and have a height of 18 cm. If the original can holds 1357 cm" of tomato sauce, how much tomato sauce will the new can hold? V = V. cm3 14. A dodecahedron has pentagonal faces. True O False 15. A cylindrical water tank has a height of 11 meters. The diameter of the base of the cylinder is 7 meters. Calculate the amount of sheet metal needed to create this tank. (Hint: Calculate the surface area of the cylinder.) 308.858 m2 312.666 m 336.382 m2 O 318.872 m2 None of the above16. What shape are the faces of an icosahedron? O pentagons O equilateral triangles O squares O hexagons 17. Find the edge length of a cube if the surface area is 764.78 cm?. 10.08 cm 11.29 cm 14.41 cm O 6.79 cm None of the above 18. A rectangular prism has how many faces? O 10 0 4 O 8 0 6 O None of the above 19. Calculate the volume of the rectangular solid shown where h = 96 cm, j = 70 cm, and k = 83 cm. k h Volume = cm 320. Identify the shapes named below which can be created by a planar cross section of the dodecahedron shown below. Select all correct answers; more than one answer may be correct. Dodecahedron equilateral triangle Oisosceles triangle pentagon O trapezoid O scalene triangle concave polygon O dodecagon O rectangle 21. What is the name of the Platonic solid for which each face has a one-sixth probability of turning up when it is rolled like a die? O dodecahedron O hexahedron O icosahedron O octahedron None of the above 22. Calculate the volume of a cylinder that has a radius of 14 yards and a height of 29 yards. Vx yards"23. What shape is a face of a dodecahedron? O regular pentagon O square O equilateral triangle O None of the above 24. There are two types of boxes that Jana is using for storage. The one has a side length of 20 and the other has a side length of 24. What is the ratio of their volumes? O (29) O ()3 O (8) 2 O ( 30 ) 2 O None of the above 25. A wooden jewelry box has the shape of a prism with a regular hexagonal base of 134.31 in . The sides of the hexagonal base are all 7.19 inches. If the height of the box is 18.59 inches, what is the surface area of the wood used to make the jewelry box? O 1078.44 in 1070.59 in2 O 1066.25 in O 1081 in None of the above 26. If a cone has a height of 13 mm and a volume of 101x mm", find the diameter of the circular base. Diameter = vx inches27. A wooden jewelry box has the shape of a prism with a regular hexagonal base of 24 in . If the height of the box is 18 inches, calculate the volume of the wooden box. 432 in3 435 in3 421 in3 424 in3 None of the above 28. If a metal tool chest has the shape of a prism with a pentagonal base of 110.11 in in area, calculate the volume of the metal chest and pick the most reasonable answer. where length c = 8 inches and length m = 21 inches. m m O 2466 in3 2387 in3 2575 in3 O 2312 in3 None of the above29. Calculate the volume of the regular triangular pyramid with the base edges of length 20 meters and a height of length 11 meters. (Hint: Remember that the base of a regular triangular pyramid must be an equilateral triangle, not necessarily congruent to the sides of the pyramid.) 620.7 m3 635.09 m3 640.19 m3 651.12 m3 ONone of the above 30. For an advertising display a company makes a jug of chocolate milk that is similar to their normal jug of chocolate milk, but each dimension is twenty times larger. How many times larger than the volume of the normal jug is the volume of the advertising display jug? 8000 times larger 60 times larger 20 times larger O 400 times larger None of the above.31. Which of the following diagrams, when rotated around the y-axis, will generate a solid that takes on the shape of a roll of toilet paper (with the paper still on it)?* *Please note: there are four images to evaluate. O X K Three-dimensional Axes O X Three-dimensional Axes O X Three-dimensional Axes O C XX Three-dimensional Axes