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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 #1291 : Grade 6

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

Possible Answers:

$72\textup{ cm}^3$ $\displaystyle 72\textup{ cm}^3$

$89.25\textup{ cm}^3$ $\displaystyle 89.25\textup{ cm}^3$

$70.5\textup{ cm}^3$ $\displaystyle 70.5\textup{ cm}^3$

$84.75\textup{ cm}^3$ $\displaystyle 84.75\textup{ cm}^3$

$88\textup{ cm}^3$ $\displaystyle 88\textup{ cm}^3$

Correct answer:

$89.25\textup{ cm}^3$ $\displaystyle 89.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{4}\times3\times7$ $\displaystyle A=4\frac{1}{4}\times3\times7$

$A=89.25\textup{ cm}^3$ $\displaystyle A=89.25\textup{ cm}^3$

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 #1291 : Grade 6

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

Possible Answers:

$76.5\textup{ cm}^3$ $\displaystyle 76.5\textup{ cm}^3$

$79.25\textup{ cm}^3$ $\displaystyle 79.25\textup{ cm}^3$

$70.75\textup{ cm}^3$ $\displaystyle 70.75\textup{ cm}^3$

$78\textup{ cm}^3$ $\displaystyle 78\textup{ cm}^3$

$75\textup{ cm}^3$ $\displaystyle 75\textup{ cm}^3$

Correct answer:

$76.5\textup{ cm}^3$ $\displaystyle 76.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{4}\times3\times6$ $\displaystyle A=4\frac{1}{4}\times3\times6$

$A=76.5\textup{ cm}^3$ $\displaystyle A=76.5\textup{ cm}^3$

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 #1291 : Grade 6

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

Possible Answers:

$65.25\textup{ cm}^3$ $\displaystyle 65.25\textup{ cm}^3$

$58.25\textup{ cm}^3$ $\displaystyle 58.25\textup{ cm}^3$

$60.75\textup{ cm}^3$ $\displaystyle 60.75\textup{ cm}^3$

$63.75\textup{ cm}^3$ $\displaystyle 63.75\textup{ cm}^3$

$68.5\textup{ cm}^3$ $\displaystyle 68.5\textup{ cm}^3$

Correct answer:

$63.75\textup{ cm}^3$ $\displaystyle 63.75\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{4}\times3\times5$ $\displaystyle A=4\frac{1}{4}\times3\times5$

$A=63.75\textup{ cm}^3$ $\displaystyle A=63.75\textup{ cm}^3$

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 #124 : Geometry

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

Possible Answers:

$49.5\textup{ cm}^3$ $\displaystyle 49.5\textup{ cm}^3$

$55.75\textup{ cm}^3$ $\displaystyle 55.75\textup{ cm}^3$

$53.25\textup{ cm}^3$ $\displaystyle 53.25\textup{ cm}^3$

$50\textup{ cm}^3$ $\displaystyle 50\textup{ cm}^3$

$51\textup{ cm}^3$ $\displaystyle 51\textup{ cm}^3$

Correct answer:

$51\textup{ cm}^3$ $\displaystyle 51\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

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

$A=51\textup{ cm}^3$ $\displaystyle A=51\textup{ cm}^3$

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 #125 : Geometry

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

Possible Answers:

$42.5\textup{ cm}^3$ $\displaystyle 42.5\textup{ cm}^3$

$40.25\textup{ cm}^3$ $\displaystyle 40.25\textup{ cm}^3$

$36\textup{ cm}^3$ $\displaystyle 36\textup{ cm}^3$

$38.25\textup{ cm}^3$ $\displaystyle 38.25\textup{ cm}^3$

$32\textup{ cm}^3$ $\displaystyle 32\textup{ cm}^3$

Correct answer:

$38.25\textup{ cm}^3$ $\displaystyle 38.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{4}\times3\times3$ $\displaystyle A=4\frac{1}{4}\times3\times3$

$A=38.25\textup{ cm}^3$ $\displaystyle A=38.25\textup{ cm}^3$

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 #126 : Geometry

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

Possible Answers:

$28.25\textup{ cm}^3$ $\displaystyle 28.25\textup{ cm}^3$

$20.75\textup{ cm}^3$ $\displaystyle 20.75\textup{ cm}^3$

$23.5\textup{ cm}^3$ $\displaystyle 23.5\textup{ cm}^3$

$25.5\textup{ cm}^3$ $\displaystyle 25.5\textup{ cm}^3$

$27\textup{ cm}^3$ $\displaystyle 27\textup{ cm}^3$

Correct answer:

$25.5\textup{ cm}^3$ $\displaystyle 25.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=4\frac{1}{4}\times3\times2$ $\displaystyle A=4\frac{1}{4}\times3\times2$

$A=25.5\textup{ cm}^3$ $\displaystyle A=25.5\textup{ cm}^3$

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 #61 : 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:

$46.25\textup{ cm}^3$ $\displaystyle 46.25\textup{ cm}^3$

$43.5\textup{ cm}^3$ $\displaystyle 43.5\textup{ cm}^3$

$49.5\textup{ cm}^3$ $\displaystyle 49.5\textup{ cm}^3$

$44.75\textup{ cm}^3$ $\displaystyle 44.75\textup{ cm}^3$

$41.5\textup{ cm}^3$ $\displaystyle 41.5\textup{ cm}^3$

Correct answer:

$43.5\textup{ cm}^3$ $\displaystyle 43.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times2$ $\displaystyle A=7\frac{1}{4}\times3\times2$

$A=43.5\textup{ cm}^3$ $\displaystyle A=43.5\textup{ cm}^3$

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 #1292 : Grade 6

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

Possible Answers:

$65.25\textup{ cm}^3$ $\displaystyle 65.25\textup{ cm}^3$

$63.25\textup{ cm}^3$ $\displaystyle 63.25\textup{ cm}^3$

$66\textup{ cm}^3$ $\displaystyle 66\textup{ cm}^3$

$68.5\textup{ cm}^3$ $\displaystyle 68.5\textup{ cm}^3$

$67.75\textup{ cm}^3$ $\displaystyle 67.75\textup{ cm}^3$

Correct answer:

$65.25\textup{ cm}^3$ $\displaystyle 65.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times3$ $\displaystyle A=7\frac{1}{4}\times3\times3$

$A=65.25\textup{ cm}^3$ $\displaystyle A=65.25\textup{ cm}^3$

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 #61 : 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:

$89.25\textup{ cm}^3$ $\displaystyle 89.25\textup{ cm}^3$

$86.26\textup{ cm}^3$ $\displaystyle 86.26\textup{ cm}^3$

$87\textup{ cm}^3$ $\displaystyle 87\textup{ cm}^3$

$90.5\textup{ cm}^3$ $\displaystyle 90.5\textup{ cm}^3$

$88.5\textup{ cm}^3$ $\displaystyle 88.5\textup{ cm}^3$

Correct answer:

$87\textup{ cm}^3$ $\displaystyle 87\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times4$ $\displaystyle A=7\frac{1}{4}\times3\times4$

$A=87\textup{ cm}^3$ $\displaystyle A=87\textup{ cm}^3$

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 #1292 : Grade 6

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

Possible Answers:

$110\textup{ cm}^3$ $\displaystyle 110\textup{ cm}^3$

$109.5\textup{ cm}^3$ $\displaystyle 109.5\textup{ cm}^3$

$107.25\textup{ cm}^3$ $\displaystyle 107.25\textup{ cm}^3$

$108.75\textup{ cm}^3$ $\displaystyle 108.75\textup{ cm}^3$

$102.75\textup{ cm}^3$ $\displaystyle 102.75\textup{ cm}^3$

Correct answer:

$108.75\textup{ cm}^3$ $\displaystyle 108.75\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times5$ $\displaystyle A=7\frac{1}{4}\times3\times5$

$A=108.75\textup{ cm}^3$ $\displaystyle A=108.75\textup{ cm}^3$

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 #1291 : Grade 6

Example Question #1291 : Grade 6

Example Question #1291 : Grade 6

Example Question #124 : Geometry

Example Question #125 : Geometry

Example Question #126 : Geometry

Example Question #61 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #1292 : Grade 6

Example Question #61 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #1292 : Grade 6

All Common Core: 6th Grade Math Resources

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