Common Core: High School - Geometry : Geometric Measurement & Dimension

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

Find the volume of a cube, if its surface area is .

Round your answer to  decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where  is surface area and  is the length.

Now we plug 897 for  and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where  is the width and volume.

Now plug in 149.5 for .

So the final answer is.

Example Question #22 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

Find the volume of a cube, if its surface area is .

Round your answer to  decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where  is surface area and  is the length.

Now we plug 800 for  and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where w is the width and  volume.

Now plug in 133.33333333333334 for .

So the final answer is.

Example Question #23 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

Find the volume of a cube, if its surface area is .

Round your answer to  decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where  is surface area and  is the length.

Now we plug 738 for  and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where  is the width and  volume.

Now plug in 123.0 for .

So the final answer is.

 

 

Example Question #24 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

Find the volume of a cube, if its surface area is .

Round your answer to  decimal places.

Possible Answers:

Correct answer:

Explanation:

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where  is surface area and  is the length.

Now we plug 925 for  and solve for .

Now since we have the width, we can plug it into the volume formula, which is

Where  is the width and  volume.

Now plug in 154.16666666666666 for .

So the final answer is.

Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius  . Round your answer to the nearest hundredth.

Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.



We simply plug in  for .





Now we round our answer to the nearest hundredth.


Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.


Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.



We simply plug in  for .





Now we round our answer to the nearest hundredth.





Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.


Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.



We simply plug in  for .





Now we round our answer to the nearest hundredth.







Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.




Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.



We simply plug in  for .






Now we round our answer to the nearest hundredth.


Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.


Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.



We simply plug in  for .




Now we round our answer to the nearest hundredth.





Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.



Possible Answers:

Correct answer:

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.



We simply plug in  for .




Now we round our answer to the nearest hundredth.





All Common Core: High School - Geometry Resources

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