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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$125\textup{ cm}^3$

$127.5\textup{ cm}^3$

$126\textup{ cm}^3$

$130.5\textup{ cm}^3$

$128\textup{ cm}^3$

Correct answer:

$126\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{2}\times4\times9$

$A=126\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

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Example Question #81 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$116\textup{ cm}^3$

$114.5\textup{ cm}^3$

$119\textup{ cm}^3$

$112\textup{ cm}^3$

$110.5\textup{ cm}^3$

Correct answer:

$112\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{2}\times4\times8$

$A=112\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$98\textup{ cm}^3$

$97\textup{ cm}^3$

$103.5\textup{ cm}^3$

$105\textup{ cm}^3$

$100\textup{ cm}^3$

Correct answer:

$98\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{2}\times4\times7$

$A=98\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #24 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$82\textup{ cm}^3$

$88\textup{ cm}^3$

$84\textup{ cm}^3$

$91.5\textup{ cm}^3$

$90.5\textup{ cm}^3$

Correct answer:

$84\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{2}\times4\times6$

$A=84\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #82 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$104.5\textup{ cm}^3$

$105\textup{ cm}^3$

$107\textup{ cm}^3$

$108\textup{ cm}^3$

$110\textup{ cm}^3$

Correct answer:

$108\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times6$

$A=108\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$91.5\textup{ cm}^3$

$88\textup{ cm}^3$

$90\textup{ cm}^3$

$87.5\textup{ cm}^3$

$84.5\textup{ cm}^3$

Correct answer:

$90\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times5$

$A=90\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #23 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$68.5\textup{ cm}^3$

$70.5\textup{ cm}^3$

$72\textup{ cm}^3$

$74\textup{ cm}^3$

$64\textup{ cm}^3$

Correct answer:

$72\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times4$

$A=72\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #24 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$55.5\textup{ cm}^3$

$50.5\textup{ cm}^3$

$53\textup{ cm}^3$

$54\textup{ cm}^3$

$53.5\textup{ cm}^3$

Correct answer:

$54\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times3$

$A=54\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #29 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$36\textup{ cm}^3$

$32\textup{ cm}^3$

$34\textup{ cm}^3$

$37\textup{ cm}^3$

$35.5\textup{ cm}^3$

Correct answer:

$36\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times2$

$A=36\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #31 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$124.5\textup{ cm}^3$

$122\textup{ cm}^3$

$125.5\textup{ cm}^3$

$128\textup{ cm}^3$

$126\textup{ cm}^3$

Correct answer:

$126\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{2}\times4\times7$

$A=126\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #81 : Geometry

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #24 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #82 : Geometry

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #23 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #24 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #29 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #31 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

All Common Core: 6th Grade Math Resources

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