3D Geometry: Other Shapes

1. 1Evaluate the following sample question: The triangular base of a prism is a right triangle of sides a = 2mm and b = 4mm. The height h of the prism is equal to 10mm. What is the volume of the triangular prism?

   1. A20 mm^3
   2. B80 mm^3
   3. C40 mm^3
   4. D8 mm^3
   5. E45 mm^3
2. 2Evaluate the following sample question: The volume of the cylinder is 384π cubic inches and the radius r equals 8 inches. What is the total surface area of the cylinder, in square inches? (Note:The total surface area of a cylinder is given by 2 π r^2 + 2 π r h, where r is the radius and h is the height.)

   

   1. ACannot be determined from the given information
   2. B320 π
   3. C144 π
   4. D224 π
   5. E48 π
3. 3The volume of a cylinder is π r^2 h, where r is the radius of the base of the cylinder and h is the height of the cylinder. What is the volume, in cubic inches, of a cylinder of height 8 inches that has a base of radius 3 inches?

   1. A64 π
   2. B73 π
   3. C72 π
   4. D24 π
   5. E192 π
4. 4Evaluate the following sample question: The volume V of a sphere is determined by the formula V = 4/3 π r^3, where r is the radius of the sphere. What is the volume, in cubic inches, of a sphere with a diameter 18 inches long?

   1. A972 π
   2. B2,916 π
   3. C108 π
   4. D243 π
   5. E7,776 π
5. 5Which of the following answer choices represents the proper formula to solve the following questions: A circular cylinder has a radius of 5 and a height that is equal to three-quarters of the radius doubled. What is the volume of the cylinder?

   1. AV = π(52)(10)
   2. BV = (5^2)(7.5)
   3. CV = π(5^2)(7.5)
   4. DV = (5^2)(10)

Descripción

ACT Math Test sobre 3D Geometry: Other Shapes, creado por John Doaks el 14/03/2017.

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John Doaks

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