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# Common Core Standard HSG-MG.A.1 Questions

Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

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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. $14137 \ "m"^3$
2. $1767 \ "m"^3$
3. $994 \ "m"^3$
4. $563 \ "m"^3$
Grade 10 Area CCSS: HSG-MG.A.1
A miniature horse is on a 40 ft tether tied to a corner of a barn which is 15 ft X 30 ft. How much grazing area does the horse have?
1. $3439.4 \ "ft"^2$
2. $1256.6 \ "ft"^2$
3. $5026.5 \ "ft"^2$
4. $4339.3 \ "ft"^2$
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. $3117.7 \ "cm"^3$
2. $8.3 \ "m"^3$
3. $10.4 \ "cm"^3$
4. $8313 \ "m"^3$
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