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

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1753 : Common Core Math: Grade 5

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.22.40 pm

Possible Answers:

$\small 840in^3$ $\displaystyle \small 840in^3$

$\small 120in^3$ $\displaystyle \small 120in^3$

$\small 726in^3$ $\displaystyle \small 726in^3$

$\small 720in^3$ $\displaystyle \small 720in^3$

$\small 36in^3$ $\displaystyle \small 36in^3$

Correct answer:

$\small 720in^3$ $\displaystyle \small 720in^3$

Explanation:

The formula for volume of a rectangular prism is $\small v=l\times w\times h$ $\displaystyle \small v=l\times w\times h$

$\small v=6\times6\times20$ $\displaystyle \small v=6\times6\times20$

$\small v=\small 720in^2$ $\displaystyle \small v=\small 720in^2$

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

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Example Question #1754 : Common Core Math: Grade 5

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.08.19 pm

Possible Answers:

$\small 77in^3$ $\displaystyle \small 77in^3$

$\small 91in^3$ $\displaystyle \small 91in^3$

$\small 1,001in^3$ $\displaystyle \small 1,001in^3$

$\small 143in^3$ $\displaystyle \small 143in^3$

$\small 101in^3$ $\displaystyle \small 101in^3$

Correct answer:

$\small 1,001in^3$ $\displaystyle \small 1,001in^3$

Explanation:

The formula for volume of a rectangular prism is $\small v=l\times w\times h$ $\displaystyle \small v=l\times w\times h$

$\small v=13\times\7\times11$ $\displaystyle \small v=13\times\7\times11$

$\small v=1,001in^3$ $\displaystyle \small v=1,001in^3$

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

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Example Question #1 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.37.20 am

Possible Answers:

$18\ units^3$ $\displaystyle 18\ units^3$

$17\ units^3$ $\displaystyle 17\ units^3$

$15\ units^3$ $\displaystyle 15\ units^3$

$16\ units^3$ $\displaystyle 16\ units^3$

$19\ units^3$ $\displaystyle 19\ units^3$

Correct answer:

$15\ units^3$ $\displaystyle 15\ units^3$

Explanation:

This object has $\displaystyle 5$ rows with $\displaystyle 3$ cubes in each row. We can multiply to find the volume.

$5\times3=15$ $\displaystyle 5\times3=15$

$v=15\ units^3$ $\displaystyle v=15\ units^3$

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

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Example Question #2 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.27.33 am

Possible Answers:

$5\ units^3$ $\displaystyle 5\ units^3$

$6\ units^3$ $\displaystyle 6\ units^3$

$7\ units^3$ $\displaystyle 7\ units^3$

$3\ units^3$ $\displaystyle 3\ units^3$

$4\ units^3$ $\displaystyle 4\ units^3$

Correct answer:

$6\ units^3$ $\displaystyle 6\ units^3$

Explanation:

This object has $\displaystyle 3$ rows with $\displaystyle 2$ cubes in each row. We can multiply to find the volume.

$3\times2=6$ $\displaystyle 3\times2=6$

$v=6\ units^3$ $\displaystyle v=6\ units^3$

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

Report an Error

Example Question #1734 : Common Core Math: Grade 5

What is the volume of the object below?

Screen shot 2015 07 29 at 8.20.01 am

Possible Answers:

$\small \small \small 3\ units^3$ $\displaystyle \small \small \small 3\ units^3$

$\small \small 6\ units^3$ $\displaystyle \small \small 6\ units^3$

$\small \small 2\ units^3$ $\displaystyle \small \small 2\ units^3$

$\small \small 5\ units^3$ $\displaystyle \small \small 5\ units^3$

$\small \small 4\ units^3$ $\displaystyle \small \small 4\ units^3$

Correct answer:

$\small \small 4\ units^3$ $\displaystyle \small \small 4\ units^3$

Explanation:

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

$\small 2\times2=4$ $\displaystyle \small 2\times2=4$

$\small v=4\ units^3$ $\displaystyle \small v=4\ units^3$

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

Report an Error

Example Question #3 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.45.33 am

Possible Answers:

$20\ units^3$ $\displaystyle 20\ units^3$

$17\ units^3$ $\displaystyle 17\ units^3$

$18 \ units^3$ $\displaystyle 18 \ units^3$

$19\ units^3$ $\displaystyle 19\ units^3$

$16 \ units^3$ $\displaystyle 16 \ units^3$

Correct answer:

$20\ units^3$ $\displaystyle 20\ units^3$

Explanation:

This object has $\displaystyle 5$ rows with $\displaystyle 4$ cubes in each row. We can multiply to find the volume.

$5\times4=20$ $\displaystyle 5\times4=20$

$v=20\ units^3$ $\displaystyle v=20\ units^3$

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

Report an Error

Example Question #4 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.50.17 am

Possible Answers:

$19 \ units^3$ $\displaystyle 19 \ units^3$

$17 \ units^3$ $\displaystyle 17 \ units^3$

$16\ units^3$ $\displaystyle 16\ units^3$

$20\ units^3$ $\displaystyle 20\ units^3$

$18 \ units^3$ $\displaystyle 18 \ units^3$

Correct answer:

$16\ units^3$ $\displaystyle 16\ units^3$

Explanation:

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

$4\times4=16$ $\displaystyle 4\times4=16$

$v=16\ units^3$ $\displaystyle v=16\ units^3$

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

Report an Error

Example Question #2 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.53.48 am

Possible Answers:

$24\ units^3$ $\displaystyle 24\ units^3$

$25\ units^3$ $\displaystyle 25\ units^3$

$27\ units^3$ $\displaystyle 27\ units^3$

$23\ units^3$ $\displaystyle 23\ units^3$

$26\ units^3$ $\displaystyle 26\ units^3$

Correct answer:

$25\ units^3$ $\displaystyle 25\ units^3$

Explanation:

This object has $\displaystyle 5$ rows with $\displaystyle 5$ cubes in each row. We can multiply to find the volume.

$5\times5=25$ $\displaystyle 5\times5=25$

$v=25\ units^3$ $\displaystyle v=25\ units^3$

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

Report an Error

Example Question #3 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 8.57.36 am

Possible Answers:

$32\ units^3$ $\displaystyle 32\ units^3$

$30\ units^3$ $\displaystyle 30\ units^3$

$28\ units^3$ $\displaystyle 28\ units^3$

$24\ units^3$ $\displaystyle 24\ units^3$

$26\ units^3$ $\displaystyle 26\ units^3$

Correct answer:

$30\ units^3$ $\displaystyle 30\ units^3$

Explanation:

This object has $\displaystyle 6$ rows with $\displaystyle 5$ cubes in each row. We can multiply to find the volume.

$6\times5=30$ $\displaystyle 6\times5=30$

$v=30\ units^3$ $\displaystyle v=30\ units^3$

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

Report an Error

Example Question #4 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

What is the volume of the object below?

Screen shot 2015 07 29 at 9.01.03 am

Possible Answers:

$35\ units^3$ $\displaystyle 35\ units^3$

$38\ units^3$ $\displaystyle 38\ units^3$

$37\ units^3$ $\displaystyle 37\ units^3$

$36\ units^3$ $\displaystyle 36\ units^3$

$39\ units^3$ $\displaystyle 39\ units^3$

Correct answer:

$36\ units^3$ $\displaystyle 36\ units^3$

Explanation:

This object has $\displaystyle 6$ rows with $\displaystyle 6$ cubes in each row. We can multiply to find the volume.

$6\times6=36$ $\displaystyle 6\times6=36$

$v=36\ units^3$ $\displaystyle v=36\ units^3$

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

Report an Error

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

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1753 : Common Core Math: Grade 5

Example Question #1754 : Common Core Math: Grade 5

Example Question #1 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #2 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #1734 : Common Core Math: Grade 5

Example Question #3 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #4 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #2 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #3 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

Example Question #4 : Find The Volume Of A Right Rectangular Prism: Ccss.Math.Content.5.Md.C.5a

All SSAT Upper Level Math Resources

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