Common Core: 5th Grade Math : Find the Volume of a Right Rectangular Prism: CCSS.Math.Content.5.MD.C.5a

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

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Example Questions

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

Rectangular prism A has a height of 5 and a base area of 15. Rectangular prism B has edge lengths of 5, 5, and 3. Rectangular prism C contains 75 unit cubes. Which of the following statements is TRUE?

Possible Answers:

All three rectangular prisms have the same volume.

Rectangular prism A has the largest volume.

Rectangular prism C has the largest volume.

Rectangular prism A has the smallest volume.

Rectangular prism B has the largest volume.

Correct answer:

All three rectangular prisms have the same volume.

Explanation:

 

 

 

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 8.37.20 am

Possible Answers:

\(\displaystyle 19\ units^3\)

\(\displaystyle 17\ units^3\)

\(\displaystyle 15\ units^3\)

\(\displaystyle 18\ units^3\)

\(\displaystyle 16\ units^3\)

Correct answer:

\(\displaystyle 15\ units^3\)

Explanation:

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

\(\displaystyle 5\times3=15\)

\(\displaystyle v=15\ units^3\)

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

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 8.27.33 am

Possible Answers:

\(\displaystyle 7\ units^3\)

\(\displaystyle 6\ units^3\)

\(\displaystyle 5\ units^3\)

\(\displaystyle 4\ units^3\)

\(\displaystyle 3\ units^3\)

Correct answer:

\(\displaystyle 6\ units^3\)

Explanation:

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

\(\displaystyle 3\times2=6\)

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

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

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 8.20.01 am

Possible Answers:

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

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

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

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

\(\displaystyle \small \small 2\ units^3\)

Correct answer:

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

Explanation:

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

\(\displaystyle \small 2\times2=4\)

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

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

Example Question #5 : 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:

\(\displaystyle 20\ units^3\)

\(\displaystyle 19\ units^3\)

\(\displaystyle 18 \ units^3\)

\(\displaystyle 16 \ units^3\)

\(\displaystyle 17\ units^3\)

Correct answer:

\(\displaystyle 20\ units^3\)

Explanation:

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

\(\displaystyle 5\times4=20\)

\(\displaystyle v=20\ units^3\)

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

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 8.50.17 am

Possible Answers:

\(\displaystyle 16\ units^3\)

\(\displaystyle 20\ units^3\)

\(\displaystyle 19 \ units^3\)

\(\displaystyle 18 \ units^3\)

\(\displaystyle 17 \ units^3\)

Correct answer:

\(\displaystyle 16\ units^3\)

Explanation:

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

\(\displaystyle 4\times4=16\)

\(\displaystyle v=16\ units^3\)

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 8.53.48 am

Possible Answers:

\(\displaystyle 24\ units^3\)

\(\displaystyle 25\ units^3\)

\(\displaystyle 27\ units^3\)

\(\displaystyle 26\ units^3\)

\(\displaystyle 23\ units^3\)

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 #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 8.57.36 am

Possible Answers:

\(\displaystyle 24\ units^3\)

\(\displaystyle 28\ units^3\)

\(\displaystyle 32\ units^3\)

\(\displaystyle 30\ units^3\)

\(\displaystyle 26\ units^3\)

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 #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 9.01.03 am

Possible Answers:

\(\displaystyle 35\ units^3\)

\(\displaystyle 38\ units^3\)

\(\displaystyle 36\ units^3\)

\(\displaystyle 39\ units^3\)

\(\displaystyle 37\ units^3\)

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 #10 : 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:

\(\displaystyle 44\ units^3\)

\(\displaystyle 45\ units^3\)

\(\displaystyle 42\ units^3\)

\(\displaystyle 43\ units^3\)

\(\displaystyle 46\ units^3\)

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. 

 

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