Common Core: 5th Grade Math : Measurement & Data

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

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Example Questions

Example Question #51 : Measurement & Data

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.55.06 am

Possible Answers:

No because this shape only has three sides

No because this shape is flat

Yes because we are given all of the side lengths 

Yes because this is a closed shape

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 #52 : Measurement & Data

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 11.00.27 am

Possible Answers:

No because this shape has too many sides

 

Yes because we are given the volume formula

 

Yes because we know the area

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 #53 : Measurement & Data

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.05.40 am

Possible Answers:

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

 

Yes because this is a closed shape 

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 #1 : 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 11.10.47 am

Possible Answers:

No because we were not given the area

Yes because this is a three-dimensional shape

 

Yes because we are given the width

 

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 #1 : 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 11.08.41 am

Possible Answers:

No because we were not given the area

No because this shape is flat

 

Yes because this is a three-dimensional shape

 

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 #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 11.16.08 am

Possible Answers:

No because this shape is flat

 

Yes because we are given the length

 

Yes because this is a three-dimensional shape

 

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 #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 11.17.23 am

Possible Answers:

No because we were not given the area

Yes because this is a three-dimensional shape

 

No because this shape is flat

 

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 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 #5 : 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 diameter

Yes because we are given the radius

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 11.14.46 am

Possible Answers:

Yes because we are given the width

No because this shape is flat

Yes because this is a three-dimensional shape

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 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 #11 : 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 10.56.45 am

Possible Answers:

Yes because this is a closed shape 

No because this shape is flat

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

Yes because we know each of the side lengths

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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