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Eleventh Grade (Grade 11) Volume Questions

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Grade 11 Volume CCSS: HSG-GMD.A.3
A pyramid has a base of 200 ft by 250 ft and a height of 87 ft. Inside the pyramid is a room in the shape a of a pyramid which measures 50 ft by 60 ft and 30 ft high. What volume of stone is used in the structure?
  1. 1,340,000 ft3
  2. 420,000 ft3
  3. 1,450,000 ft3
  4. 1,420,000 ft3
Grade 11 Volume CCSS: HSG-GMD.A.3
A cup, which is 4 inches deep and 3.5 inches in diameter, is filled with water and then poured into a cup that is 6 inches deep and 2.5 inches in diameter. Which statement is correct?
  1. The water will not all fit in the second cup.
  2. The water will fit in the second cup with room to spare.
  3. The water will fill the second cup exactly to the top.
  4. There is not enough information to determine.
Grade 11 Volume CCSS: HSG-GMD.A.3
An ancient pyramid is 232 feet long, 183 feet wide and 130 feet tall. The interior cavity is a rectangular prism 80 feet long, 60 feet wide and 20 feet high. What volume of stone is in the pyramid?
  1. 10,103,452 ft3
  2. 10,131,452 ft3
  3. 10,743,760 ft3
  4. 1,743,760 ft3
Grade 11 Volume CCSS: HSG-GMD.A.3
The shaft of a screwdriver is 8 inches long and 38 of an inch in diameter. What volume of steel is in the shaft?
  1. .72 cubic inches
  2. 1.88 cubic inches
  3. .88 cubic inches
  4. 1.03 cubic inches
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