Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #6 : 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:

\(\displaystyle 23\ units^3\)

\(\displaystyle 24\ units^3\)

\(\displaystyle 25\ units^3\)

\(\displaystyle 26\ units^3\)

\(\displaystyle 27\ units^3\)

Correct answer:

\(\displaystyle 25\ units^3\)

Explanation:

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

\(\displaystyle 5\times5=25\)

\(\displaystyle v=25\ units^3\)

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

Example Question #7 : 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:

\(\displaystyle 26\ units^3\)

\(\displaystyle 24\ units^3\)

\(\displaystyle 32\ units^3\)

\(\displaystyle 30\ units^3\)

\(\displaystyle 28\ units^3\)

Correct answer:

\(\displaystyle 30\ units^3\)

Explanation:

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

\(\displaystyle 6\times5=30\)

\(\displaystyle v=30\ units^3\)

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

Example Question #8 : 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:

\(\displaystyle 39\ units^3\)

\(\displaystyle 36\ units^3\)

\(\displaystyle 37\ units^3\)

\(\displaystyle 35\ units^3\)

\(\displaystyle 38\ units^3\)

Correct answer:

\(\displaystyle 36\ units^3\)

Explanation:

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

\(\displaystyle 6\times6=36\)

\(\displaystyle v=36\ units^3\)

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

Example Question #9 : 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 9.05.07 am

Possible Answers:

\(\displaystyle 44\ units^3\)

\(\displaystyle 43\ units^3\)

\(\displaystyle 42\ units^3\)

\(\displaystyle 46\ units^3\)

\(\displaystyle 45\ units^3\)

Correct answer:

\(\displaystyle 42\ units^3\)

Explanation:

This object has \(\displaystyle 7\) rows with \(\displaystyle 6\) cubes in each row. We can multiply to find the volume. 

\(\displaystyle 7\times6=42\)

\(\displaystyle v=42\ units^3\)

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:

\(\displaystyle \small 4\ units^3\)

\(\displaystyle \small 5\ units^3\)

\(\displaystyle \small 3\ units^3\)

\(\displaystyle \small 6\ units^3\)

\(\displaystyle \small 7\ units^3\)

Correct answer:

\(\displaystyle \small 6\ units^3\)

Explanation:

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

\(\displaystyle \small 2\times3=6\)

\(\displaystyle \small \small v=6\ units^3\)

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

Example Question #933 : Ssat Upper Level Quantitative (Math)

 What is the volume of the object below? 

Screen shot 2015 07 29 at 8.34.50 am

Possible Answers:

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

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

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

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

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

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 #934 : Ssat Upper Level Quantitative (Math)

 What is the volume of the object below? 


Screen shot 2015 07 29 at 8.31.38 am

Possible Answers:

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

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

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

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

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

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. 

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

John has a gym locker that is 1 foot wide, 3 feet high, and 2 feet deep. His gym clothes can be stuffed into a gym bag with a volume of 4 cubic feet. Will John's gym bag fit into his locker?

Possible Answers:

No

Yes

Correct answer:

Yes

Explanation:

 

 

 

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:

\(\displaystyle \small 8cm^3\)

\(\displaystyle \small 3cm^3\)

\(\displaystyle \small 5cm^3\)

\(\displaystyle \small 7cm^3\)

\(\displaystyle \small 6cm^3\)

Correct answer:

\(\displaystyle \small 6cm^3\)

Explanation:

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

\(\displaystyle \small v=3\times1\times2\)

\(\displaystyle \small v=6cm^3\)

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

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 3.47.24 pm

Possible Answers:

\(\displaystyle \small 36cm^3\)

\(\displaystyle \small 15cam^3\)

\(\displaystyle \small 26m^3\)

\(\displaystyle \small 10cm^3\)

\(\displaystyle \small 29cm^3\)

Correct answer:

\(\displaystyle \small 36cm^3\)

Explanation:

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

\(\displaystyle \small v=6\times3\times2\)

\(\displaystyle \small v=36cm^3\)

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

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