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Common Core Standard 8.G.C.9 Questions

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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Grade 8 Three Dimensional Shapes CCSS: 8.G.C.9
A licorice piece has a cross section of 1 cm2 and a length of 23 cm. If a package of licorice contains 20 pieces, what volume of licorice is in the bag?
  1. 400 cm3
  2. 115 cm3
  3. 230 cm3
  4. 460 cm3
Grade 8 Volume CCSS: 8.G.C.9
A conical sand pile has a diameter of 123 feet and a height of 61 feet. How much sand is in the pile?
Cone
  1. 241,606 ft3
  2. 28,942 ft3
  3. 2,899,278 ft3
  4. 241,607 ft3
Grade 8 Volume CCSS: 8.G.C.9
A pencil has a diameter of 0.75 cm and a length of 20 cm. How much wood is in the pencil?
Cylinder 2
  1. 26.5 cm3
  2. 8.8 cm3
  3. 35.3 cm3
  4. 6.3 cm3
Grade 8 Volume CCSS: 8.G.C.9
What is the formula for the volume of a sphere?
  1. V=l×w×h
  2. V=13πr2h
  3. V=πr2h
  4. V=43πr3
Grade 8 Volume CCSS: 8.G.C.9
Ace Canning Company is redesigning its product. The new cans will have twice the radius, but the same height of the original cans. Which statement is true about the volume of the new cans compared to the volume of the original cans?
  1. The volumes of the new and original cans will be equal.
  2. The volume of the new cans will be twice the volume of the original cans.
  3. The volume of the new cans will be four times the volume of the original cans.
  4. There is not enough information to determine.
Grade 8 Volume CCSS: 8.G.C.9
Which of the following will hold the greatest volume?
  1. a sphere with a radius of 10 cm
  2. a cube with a side length of 10 cm
  3. a cone with a radius of 10 cm and a height of 10 cm
  4. a cylinder with a radius of 10 cm and a height of 10 cm
Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a sphere with a radius of 3 ft?
Sphere
  1. 14 cubic feet
  2. 113 cubic feet
  3. 339 cubic feet
  4. 905 cubic feet
Grade 8 Volume CCSS: 8.G.C.9
What is the formula for the volume of a cone?
  1. V=l×w×h
  2. V=13πr2h
  3. V=πr2h
  4. V=43πr3
Grade 8 Volume CCSS: 8.G.C.9
What is the formula for the volume of a cylinder?
  1. V=l×w×h
  2. V=13πr2h
  3. V=πr2h
  4. V=43πr3
Grade 8 Volume CCSS: 8.G.C.9
The diameter of Earth is about 7,918 miles. Which of the following is the best estimate of Earth's volume?
  1. 5.0×104 cubic miles
  2. 10.0×104 cubic miles
  3. 2.6×1011 cubic miles
  4. 2.1×1012 cubic miles
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