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

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #1 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.39.34 pm

Possible Answers:

$\small 7cm^3$ $\displaystyle \small 7cm^3$

$\small 8cm^3$ $\displaystyle \small 8cm^3$

$\small 3cm^3$ $\displaystyle \small 3cm^3$

$\small 6cm^3$ $\displaystyle \small 6cm^3$

$\small 5cm^3$ $\displaystyle \small 5cm^3$

Correct answer:

$\small 6cm^3$ $\displaystyle \small 6cm^3$

Explanation:

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

$\small v=3\times1\times2$ $\displaystyle \small v=3\times1\times2$

$\small v=6cm^3$ $\displaystyle \small v=6cm^3$

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

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Example Question #1 : How To Find The Volume Of A Prism

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.47.24 pm

Possible Answers:

$\small 26m^3$ $\displaystyle \small 26m^3$

$\small 29cm^3$ $\displaystyle \small 29cm^3$

$\small 10cm^3$ $\displaystyle \small 10cm^3$

$\small 15cam^3$ $\displaystyle \small 15cam^3$

$\small 36cm^3$ $\displaystyle \small 36cm^3$

Correct answer:

$\small 36cm^3$ $\displaystyle \small 36cm^3$

Explanation:

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

$\small v=6\times3\times2$ $\displaystyle \small v=6\times3\times2$

$\small v=36cm^3$ $\displaystyle \small v=36cm^3$

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

Report an Error

Example Question #2 : How To Find The Volume Of A Prism

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.56.22 pm

Possible Answers:

$\small 21cm^3$ $\displaystyle \small 21cm^3$

$\small 12cm^3$ $\displaystyle \small 12cm^3$

$\small 14cm^3$ $\displaystyle \small 14cm^3$

$\small 42cm^3$ $\displaystyle \small 42cm^3$

$\small 6cm^3$ $\displaystyle \small 6cm^3$

Correct answer:

$\small 42cm^3$ $\displaystyle \small 42cm^3$

Explanation:

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

$\small v=2\times3\times7$ $\displaystyle \small v=2\times3\times7$

$\small v=42cm^3$ $\displaystyle \small v=42cm^3$

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

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.53.08 pm

Possible Answers:

$\small 192cm^3$ $\displaystyle \small 192cm^3$

$\small 32cm^3$ $\displaystyle \small 32cm^3$

$\small 48cm^2$ $\displaystyle \small 48cm^2$

$\small 52cm^3$ $\displaystyle \small 52cm^3$

$\small 186cm^3$ $\displaystyle \small 186cm^3$

Correct answer:

$\small 192cm^3$ $\displaystyle \small 192cm^3$

Explanation:

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

$\small v=8\times4\times6$ $\displaystyle \small v=8\times4\times6$

$\small v=192cm^3$ $\displaystyle \small v=192cm^3$

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

Report an Error

Example Question #1 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.50.28 pm

Possible Answers:

$\small 180cm^3$ $\displaystyle \small 180cm^3$

$\small 108cm^3$ $\displaystyle \small 108cm^3$

$\small 36cm^3$ $\displaystyle \small 36cm^3$

$\small 110cm^3$ $\displaystyle \small 110cm^3$

$\small 18cm^3$ $\displaystyle \small 18cm^3$

Correct answer:

$\small 108cm^3$ $\displaystyle \small 108cm^3$

Explanation:

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

$\small v=6\times3\times6$ $\displaystyle \small v=6\times3\times6$

$\small v=108cm^3$ $\displaystyle \small v=108cm^3$

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

Report an Error

Example Question #2 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.00.30 pm

Possible Answers:

$\small 84cm^3$ $\displaystyle \small 84cm^3$

$\small 12cm^3$ $\displaystyle \small 12cm^3$

$\small 28cm^3$ $\displaystyle \small 28cm^3$

$\small 21cm^3$ $\displaystyle \small 21cm^3$

$\small 96cm^3$ $\displaystyle \small 96cm^3$

Correct answer:

$\small 84cm^3$ $\displaystyle \small 84cm^3$

Explanation:

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

$\small v=3\times4\times7$ $\displaystyle \small v=3\times4\times7$

$\small v=84cm^3$ $\displaystyle \small v=84cm^3$

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

Report an Error

Example Question #3 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.04.49 pm

Possible Answers:

$\small 99in^3$ $\displaystyle \small 99in^3$

$\small 110in^3$ $\displaystyle \small 110in^3$

$\small 900in^3$ $\displaystyle \small 900in^3$

$\small 90in^3$ $\displaystyle \small 90in^3$

$\small 990in^3$ $\displaystyle \small 990in^3$

Correct answer:

$\small 990in^3$ $\displaystyle \small 990in^3$

Explanation:

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

$\small v=10\times9\times11$ $\displaystyle \small v=10\times9\times11$

$\small v=990in^3$ $\displaystyle \small v=990in^3$

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

Report an Error

Example Question #4 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.12.30 pm

Possible Answers:

$\small 65in^3$ $\displaystyle \small 65in^3$

$\small 195in^3$ $\displaystyle \small 195in^3$

$\small \small 995in^3$ $\displaystyle \small \small 995in^3$

$\small \small 975in^3$ $\displaystyle \small \small 975in^3$

$\small 75in^3$ $\displaystyle \small 75in^3$

Correct answer:

$\small \small 975in^3$ $\displaystyle \small \small 975in^3$

Explanation:

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

$\small v=13\times5\times15$ $\displaystyle \small v=13\times5\times15$

$\small v=975in^3$ $\displaystyle \small v=975in^3$

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

Report an Error

Example Question #5 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.16.00 pm

Possible Answers:

$\small 1,193in^3$ $\displaystyle \small 1,193in^3$

$\small 1,092in^3$ $\displaystyle \small 1,092in^3$

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

$\small 1,992in^3$ $\displaystyle \small 1,992in^3$

$\small 156in^3$ $\displaystyle \small 156in^3$

Correct answer:

$\small 1,092in^3$ $\displaystyle \small 1,092in^3$

Explanation:

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

$\small v=13\times7\times12$ $\displaystyle \small v=13\times7\times12$

$\small v=1,092in^3$ $\displaystyle \small v=1,092in^3$

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

Report an Error

Example Question #6 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the shape below?

Screen shot 2015 07 28 at 4.19.28 pm

Possible Answers:

$\small 90in^3$ $\displaystyle \small 90in^3$

$\small 560in^3$ $\displaystyle \small 560in^3$

$\small 108in^3$ $\displaystyle \small 108in^3$

$\small 520in^3$ $\displaystyle \small 520in^3$

$\small 540in^3$ $\displaystyle \small 540in^3$

Correct answer:

$\small 540in^3$ $\displaystyle \small 540in^3$

Explanation:

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

$\small v=5\times6\times18$ $\displaystyle \small v=5\times6\times18$

$\small v=540in^3$ $\displaystyle \small v=540in^3$

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

Report an Error

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All SSAT Upper Level Math Resources

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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 #1 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #1 : How To Find The Volume Of A Prism

Example Question #2 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

Example Question #1 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #2 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #3 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #4 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #5 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

Example Question #6 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

All SSAT Upper Level Math Resources

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