SSAT Upper Level Math : How to find the volume of a prism

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1554 : Common Core Math: Grade 5

Can we determine the volume of this shape? 



Screen shot 2015 07 29 at 11.08.41 am

Possible Answers:

Yes because we are given the length

 

No because we were not given the area

No because this shape is flat

 

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 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

 

No because we were not given the area

Yes because we are given the length

 

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 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 #1552 : Common Core Math: Grade 5

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.17.23 am

Possible Answers:

Yes because this is a three-dimensional shape

 

Yes because we are given the width

 

No because we were not given the area

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 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 #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 10.53.52 am

Possible Answers:

No because this shape is round

Yes because we are given the radius

No because this shape is flat

 

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 #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 11.14.46 am

Possible Answers:

Yes because this is a three-dimensional shape

No because we were not given the area

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 #702 : Geometry

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.56.45 am

Possible Answers:

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

Yes because we know each of the side lengths

Yes because this is a closed shape 

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 #1561 : Common Core Math: Grade 5

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.58.34 am

Possible Answers:

Yes because this shape is a perfect square

Yes because we know all the side lengths 

No because this shape is open

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 #1562 : Common Core Math: Grade 5

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.08.14 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 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 #241 : Measurement & Data

 What is the volume of the object below? 

Screen shot 2015 07 29 at 8.34.50 am

Possible Answers:

Correct answer:

Explanation:

This object has  rows with  cubes in each row. We can multiply to find the volume. 

Remember, volume is always labeled as units to the third power. 

Example Question #242 : Measurement & Data

 What is the volume of the object below? 


Screen shot 2015 07 29 at 8.31.38 am

Possible Answers:

Correct answer:

Explanation:

This object has  rows with  cubes in each row. We can multiply to find the volume. 

Remember, volume is always labeled as units to the third power. 

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