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 #31 : How To Find The Volume Of A Prism

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 we are given the length

 

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 #32 : How To Find The Volume Of A Prism

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

 

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 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 #33 : How To Find The Volume Of A Prism

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.17.23 am

Possible Answers:

Yes because we are given the width

 

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 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 #34 : How To Find The Volume Of A Prism

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.53.52 am

Possible Answers:

Yes because we are given the radius

No because this shape is flat

 

Yes because we are given the diameter

No because this shape is round

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 #35 : How To Find The Volume Of A Prism

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.14.46 am

Possible Answers:

No because we were not given the area

Yes because we are given the width

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 #36 : How To Find The Volume Of A Prism

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 this is a closed shape 

Yes because we know each of the side lengths

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.

Example Question #37 : How To Find The Volume Of A Prism

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.58.34 am

Possible Answers:

No because this shape is open

No because this shape is flat

Yes because this shape is a perfect square

Yes because we know all 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.

Example Question #38 : How To Find The Volume Of A Prism

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

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 #39 : How To Find The Volume Of A Prism

 What is the volume of the object below? 

Screen shot 2015 07 29 at 8.34.50 am

Possible Answers:

\(\displaystyle 11\textup{ units}^3\)

\(\displaystyle 10\textup{ units}^3\)

\(\displaystyle 8\textup{ units}^3\)

\(\displaystyle 14\textup{ units}^3\)

\(\displaystyle 12\textup{ units}^3\)

Correct answer:

\(\displaystyle 12\textup{ units}^3\)

Explanation:

This object has \(\displaystyle 4\) rows with \(\displaystyle 3\) cubes in each row. We can multiply to find the volume. 

\(\displaystyle 4\times3=12\)

\(\displaystyle v=12\ units^3\)

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

Example Question #40 : How To Find The Volume Of A Prism

 What is the volume of the object below? 


Screen shot 2015 07 29 at 8.31.38 am

Possible Answers:

\(\displaystyle 11\textup{ units}^3\)

\(\displaystyle 9\textup{ units}^3\)

\(\displaystyle 7\textup{ units}^3\)

\(\displaystyle 10\textup{ units}^3\)

\(\displaystyle 8\textup{ units}^3\)

Correct answer:

\(\displaystyle 8\textup{ units}^3\)

Explanation:

This object has \(\displaystyle 4\) rows with \(\displaystyle 2\) cubes in each row. We can multiply to find the volume. 

\(\displaystyle 4\times2=8\)

\(\displaystyle v=8\ units^3\)

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

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