Common Core: 5th Grade Math : Apply the Volume Formula: CCSS.Math.Content.5.MD.C.5b

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

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Example Questions

Example Question #381 : Problem Solving

What is the volume of the rectangular prism below? 

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Possible Answers:

\displaystyle 74cm^3

\displaystyle 70cm^3

\displaystyle 72cm^3

\displaystyle 68cm^3

\displaystyle 60cm^3

Correct answer:

\displaystyle 72cm^3

Explanation:

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

\displaystyle \small v=72cm^3

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

Example Question #382 : Problem Solving

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.50 pm

 

Possible Answers:

\displaystyle 160cm^3

\displaystyle 150cm^3

\displaystyle 180cm^3

\displaystyle 190cm^3

\displaystyle 170cm^3

Correct answer:

\displaystyle 180cm^3

Explanation:

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

\displaystyle \small v=180cm^3

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

Example Question #383 : Problem Solving

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.41 pm

 

Possible Answers:

\displaystyle 137cm^3

\displaystyle 132cm^3

\displaystyle 134cm^3

\displaystyle 139cm^3

\displaystyle 136cm^3

Correct answer:

\displaystyle 132cm^3

Explanation:

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

\displaystyle \small v=132cm^3

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

Example Question #31 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.39 pm

 

Possible Answers:

\displaystyle 110cm^3

\displaystyle 140cm^3

\displaystyle 120cm^3

\displaystyle 100cm^3

\displaystyle 130cm^3

Correct answer:

\displaystyle 120cm^3

Explanation:

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

\displaystyle \small v=120cm^3

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

Example Question #381 : Hspt Mathematics

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.32 pm

 

Possible Answers:

\displaystyle 192cm^3

\displaystyle 198cm^3

\displaystyle 194cm^3

\displaystyle 196cm^3

\displaystyle 190cm^3

Correct answer:

\displaystyle 198cm^3

Explanation:

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

\displaystyle \small v=198cm^3

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

Example Question #31 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.29 pm

 

Possible Answers:

\displaystyle 150cm^3

\displaystyle 175cm^2

\displaystyle 170cm^3

\displaystyle 165cm^3

\displaystyle 160cm^3

Correct answer:

\displaystyle 150cm^3

Explanation:

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

\displaystyle \small v=150cm^3

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

Example Question #31 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.03.38 pm

 

Possible Answers:

\displaystyle 16cm^3

\displaystyle 12cm^3

\displaystyle 14m^3

\displaystyle 8cm^3

\displaystyle 18cm^3

Correct answer:

\displaystyle 12cm^3

Explanation:

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

\displaystyle \small v=12cm^3

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

Example Question #32 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.02.13 pm

 

Possible Answers:

\displaystyle 36cm^3

\displaystyle 30cm^3

\displaystyle 34cm^3

\displaystyle 32cm^3

\displaystyle 33cm^3

Correct answer:

\displaystyle 36cm^3

Explanation:

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

\displaystyle \small v=36cm^3

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

Example Question #33 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.03.11 pm

 

Possible Answers:

\displaystyle 155cm^3

\displaystyle 145cm^3

\displaystyle 140cm^3

\displaystyle 150cm^3

\displaystyle 160cm^3

Correct answer:

\displaystyle 150cm^3

Explanation:

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

\displaystyle \small v=150cm^3

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

Example Question #34 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.00.45 pm

 

Possible Answers:

\displaystyle 54cm^3

\displaystyle 56cm^3

\displaystyle 52cm^3

\displaystyle 60cm^3

\displaystyle 58cm^3

Correct answer:

\displaystyle 54cm^3

Explanation:

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

\displaystyle \small v=54cm^3

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

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