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Tenth Grade (Grade 10) Volume Questions

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Grade 10 Volume CCSS: HSG-GMD.A.3
Find the volume of a square pyramid with a base of 10 inches wide and a height of 18 inches.
  1. 180 cubic inches
  2. 360 cubic inches
  3. 1800 cubic inches
  4. 600 cubic inches
Grade 10 Volume CCSS: HSG-MG.A.3
A cube has a surface area of [math]216 \ "cm"^2[/math], what is its volume?
  1. [math]1296 \ "cm"^3[/math]
  2. [math]216 \ "cm"^3[/math]
  3. [math]46656 \ "cm"^3[/math]
  4. [math]64 \ "cm"^3[/math]
Grade 10 Volume CCSS: HSG-GMD.A.3, HSG-MG.A.1
A spherical water tower has a diameter of 15 meters and is filled completely with water. How much water is in the tank?
  1. [math]14137 m^3[/math]
  2. [math]1767 m^3[/math]
  3. [math]994 m^3[/math]
  4. [math]563 m^3[/math]
Grade 10 Volume CCSS: HSG-GMD.A.3
What is the volume of a cone with a height of 6 cm and a diameter of 4 cm?

NOTE: the volume of a cone is given by [math]V=1/3pir^2h[/math]
  1. [math]8pi \ "cm"^3[/math]
  2. [math]32pi \ "cm"^3[/math]
  3. [math]24pi \ "cm"^3[/math]
  4. [math]4pi \ "cm"^3[/math]
Grade 10 Volume CCSS: HSG-MG.A.1
A plastic extrusion is formed in the shape of a hexagonal prism that has side lengths of 2 cm and a length of 3 m. What volume of plastic is in the extrusion?
  1. [math]3117.7 \ "cm"^3[/math]
  2. [math]8.3 \ "m"^3[/math]
  3. [math]10.4 \ "cm"^3[/math]
  4. [math]8313 \ "m"^3[/math]
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