SSAT Upper Level Math : Volume of a Three-Dimensional Figure

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

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Example Questions

Example Question #21 : How To Find The Volume Of A Prism

 What is the volume of the object below?

 Screen shot 2015 07 29 at 9.05.07 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 #22 : How To Find The Volume Of A Prism

What is the volume of the object below? 


Screen shot 2015 07 29 at 9.08.07 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 #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

 

No because this shape is flat

 

Yes because we are given the volume formula

 

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 #53 : Measurement & Data

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.05.40 am

Possible Answers:

No because this shape is flat

 

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

 

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 #81 : 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 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 #55 : Measurement & Data

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

Yes because this is a three-dimensional shape

 

Yes because we are given the length

 

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 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 #56 : Measurement & Data

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.16.08 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 length

 

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 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 #57 : Measurement & Data

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 #58 : Measurement & Data

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

Yes because we are given the diameter

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 #82 : 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:

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 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. 

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