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Eleventh Grade (Grade 11) Volume Questions

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Grade 11 Volume CCSS: HSG-GMD.A.3
A pyramid shaped roof covers a house which is 36 ft X 36 ft. If the attic contains [math]4320 \ "ft"^3[/math] of air, how high is the peak?
  1. [math]10 \ "ft"[/math]
  2. [math]8 \ "ft"[/math]
  3. [math]12 \ "ft"[/math]
  4. [math]11.5 \ "ft"[/math]
Grade 11 Volume CCSS: HSG-GMD.A.3
A cylindrical pill with semispherical ends has a diameter of .5 cm and a total length 1.25 cm. What is the volume of the pill?
  1. [math]0.082 \ "cm"^3[/math]
  2. [math]2.13 \ "cm"^3[/math]
  3. [math]0.213 \ "cm"^3[/math]
  4. [math]0.817 \ "cm"^3[/math]
Grade 11 Volume CCSS: HSG-GMD.A.3
Grade 11 Volume CCSS: HSG-GMD.A.3
Grade 11 Volume CCSS: HSG-GMD.A.3
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]
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]
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