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Common Core Standard HSG-GMD.A.2 Questions

(+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

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Grade 11 Volume CCSS: HSG-GMD.A.2, HSG-GMD.A.3
The great pyramid of Giza has a height of 481 feet and a square base with a width of 756 feet. If it is solid inside, what volume of rock is in it?
  1. [math]65,333,333 \ ft^3[/math]
  2. [math]91,636,272 \ ft^3[/math]
  3. [math]19,636,272 \ ft^3[/math]
  4. [math]695,272 \ ft^3[/math]
Grade 11 Volume CCSS: HSG-GMD.A.2, HSG-GMD.A.3
A rectangular pyramid is 253 ft by 372 ft and 132 ft tall. What is the volume of the pyramid?
  1. [math]4,104,141 \ "ft"^3[/math]
  2. [math]3,265,124 \ "ft"^3[/math]
  3. [math]4,008,333 \ "ft"^3[/math]
  4. [math]4,141,104 \ "ft"^3[/math]

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