Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #714 : Geometry

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.55.06 am

Possible Answers:

Yes because this is a closed shape

Yes because we are given all of the side lengths 

No because this shape only has three sides

No because this shape is flat

Correct answer:

No because this shape is flat

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #3 : Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 11.00.27 am

Possible Answers:

Yes because we are given the volume formula

 

No because this shape has too many sides

 

No because this shape is flat

 

Yes because we know the area

Correct answer:

No because this shape is flat

 

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #4 : Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.05.40 am

Possible Answers:

Yes because this is a closed shape 

Yes because the volume of a rectangle is always in cubic units

 

No because the sides are not the same

 

No because this shape is flat

 

Correct answer:

No because this shape is flat

 

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

 

Example Question #83 : Volume Of A Three Dimensional Figure

Can we determine the volume of this shape?

 Screen shot 2015 07 29 at 11.10.47 am

Possible Answers:

No because this shape is flat

 

No because we were not given the area

Yes because this is a three-dimensional shape

 

Yes because we are given the width

 

Correct answer:

Yes because this is a three-dimensional shape

 

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder. 

Example Question #84 : Volume Of A Three Dimensional Figure

Can we determine the volume of this shape? 



Screen shot 2015 07 29 at 11.08.41 am

Possible Answers:

No because this shape is flat

 

Yes because this is a three-dimensional shape

 

No because we were not given the area

Yes because we are given the length

 

Correct answer:

Yes because this is a three-dimensional shape

 

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this rectangular prism. 

Example Question #7 : Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.16.08 am

Possible Answers:

No because this shape is flat

 

Yes because this is a three-dimensional shape

 

Yes because we are given the length

 

No because we were not given the area

Correct answer:

Yes because this is a three-dimensional shape

 

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this rectangular prism. 

Example Question #8 : Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.17.23 am

Possible Answers:

No because this shape is flat

 

Yes because we are given the width

 

No because we were not given the area

Yes because this is a three-dimensional shape

 

Correct answer:

Yes because this is a three-dimensional shape

 

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube. 

Example Question #6 : Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.53.52 am

Possible Answers:

No because this shape is flat

 

No because this shape is round

Yes because we are given the radius

Yes because we are given the diameter

Correct answer:

No because this shape is flat

 

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #85 : Volume Of A Three Dimensional Figure

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.14.46 am

Possible Answers:

Yes because we are given the width

No because we were not given the area

Yes because this is a three-dimensional shape

No because this shape is flat

Correct answer:

Yes because this is a three-dimensional shape

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a cylinder, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cylinder. 

Example Question #51 : Measurement & Data

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.56.45 am

Possible Answers:

No because this shape is flat

Yes because we know each of the side lengths

Yes because this is a closed shape 

No because this shape does not provide enough information to find the volume

Correct answer:

No because this shape is flat

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

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