All Common Core: High School - Geometry Resources
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.