Geometry Geometric Modeling Applications Quiz: 10 Questions with Explanations

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This modeling quiz for Geometry covers geometric modeling applications (Common Core G-MG.A.1, G-MG.A.2, G-MG.A.3), with a free PDF to print.

Test your understanding of geometric modeling with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-MG.A.1, G-MG.A.2, G-MG.A.3

Modeling quiz: 10 questions

Question 1
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A soup can is modeled by a cylinder.

A can is modeled by a cylinder with radius 3 and height 10. What is its volume?

Question 2
A town has 12,000 people on 8 square miles. What is its population density?

Question 3
A metal block has volume 50 cm3 and density 8 g per cm3. What is its mass?

Question 4
barngarden60 ft30 ft30 ft
Fence on three sides of a rectangular garden next to a barn.

Fencing is used on three sides next to a barn: 2w + l = 120. If w = 20, what is l?

Question 5
Which shape best models a basketball?

Question 6
A honeycomb cell is modeled by a regular hexagon.

Which regular polygon is a honeycomb cell?

Question 7
One gallon of paint covers 350 square feet. How many gallons are needed for 700 square feet?

Question 8
h = 6rradius r

The balls fill what fraction of the can’s volume?

Question 9
A slab is 10 ft by 10 ft and 6 inches thick. What is the volume in cubic feet?

Question 10
A tank must hold at least 400 cubic feet. Which cylinder meets the requirement?

Remember

Remember
  • A model represents a real object with a simple shape, for example a can as a cylinder.
  • Density = amount / area or volume (people per square mile, grams per cubic centimeter).
  • Mass = density x volume.
  • Design problems have constraints such as fixed fencing, minimum volume or a cost limit.
  • State answers with units and check they are reasonable.

How to use this modeling quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the modeling quiz as a PDF with the button below and keep it with your notes.

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Geometry Geometric Modeling Applications Quiz: 10 Questions with Explanations

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