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 #1831 : Common Core Math: Grade 5

What is the volume of the figure below? 

Screen shot 2015 12 22 at 11.25.38 am

Possible Answers:

Correct answer:

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

Screen shot 2015 12 22 at 11.25.56 am

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes. 

Remember, the formula for volume is 

   and 

         and 

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units! 

Example Question #21 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below? 


Screen shot 2015 12 22 at 11.27.25 am

Possible Answers:

Correct answer:

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

Screen shot 2015 12 22 at 11.27.05 am

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes. 

Remember, the formula for volume is 

   and 

         and 

Next, we add the volumes together to solve for the total volume of the original figure.

*Remember, volume is always measured in cubic units! 

Example Question #1831 : Common Core Math: Grade 5

Erica is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of Erica's two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

 

Example Question #332 : Measurement & Data

Christine is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #333 : Measurement & Data

Erin is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #334 : Measurement & Data

Tory is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #335 : Measurement & Data

Hannah is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #336 : Measurement & Data

Michelle is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #31 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Alley is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

Example Question #32 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Linda is going on a vacation. One of her suitcases has a volume of , and the other has a volume of . What is the total volume of her two suitcases?

Possible Answers:

Correct answer:

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

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