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Common Core Standard HSG-MG.A.2 Questions

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).★

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Grade 10 Circles CCSS: HSG-MG.A.2
A piece of land, in the shape of a circle with a diameter of 10 ft, has about 15 worms on it right now. What is the density of worms on this circle of land, rounded to two decimal places?
  1. 0.05 worms per square foot
  2. 0.19 worms per square foot
  3. 1.50 worms per square foot
  4. 1178.10 worms per square foot
Grade 11 Three Dimensional Shapes CCSS: HSG-MG.A.2
An object is in the shape of a cube. Its side lengths are 5 cm. Its mass is 10 g. What is the density of the cube? Round the answer to two decimal places, if necessary.
  1. 0.08 g/cm3
  2. 0.13 g/cm3
  3. 0.50 g/cm3
  4. 50 g/cm3
Grade 11 Three Dimensional Shapes CCSS: HSG-MG.A.2
A spherical object has a density of 13.4 g/cm3. If its mass is 40 g, what is the volume of the sphere, rounded to one decimal place?
  1. 0.3 cm3
  2. 0.9 cm3
  3. 3.0 cm3
  4. 536.0 cm3
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