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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 #132 : Geometry

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

Possible Answers:

$136.75\textup{ cm}^3$

$132.25\textup{ cm}^3$

$130.5\textup{ cm}^3$

$135.5\textup{ cm}^3$

$130\textup{ cm}^3$

Correct answer:

$130.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times6$

$A=130.5\textup{ cm}^3$

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

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Example Question #73 : 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:

$152.25\textup{ cm}^3$

$155.75\textup{ cm}^3$

$158\textup{ cm}^3$

$157.5\textup{ cm}^3$

$150.5\textup{ cm}^3$

Correct answer:

$152.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=7\frac{1}{4}\times3\times7$

$A=152.25\textup{ cm}^3$

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 #133 : Geometry

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

Possible Answers:

$173.25\textup{ cm}^3$

$171.5\textup{ cm}^3$

$175.5\textup{ cm}^3$

$172.25\textup{ cm}^3$

$170.75\textup{ cm}^3$

Correct answer:

$173.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times7$

$A=173.25\textup{ cm}^3$

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 #134 : Geometry

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

Possible Answers:

$142\textup{ cm}^3$

$146.75\textup{ cm}^3$

$150.25\textup{ cm}^3$

$148.5\textup{ cm}^3$

$140.5\textup{ cm}^3$

Correct answer:

$148.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times6$

$A=148.5\textup{ cm}^3$

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 #135 : Geometry

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

Possible Answers:

$125.25\textup{ cm}^3$

$118\textup{ cm}^3$

$123.75\textup{ cm}^3$

$120\textup{ cm}^3$

$119.5\textup{ cm}^3$

Correct answer:

$123.75\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times5$

$A=123.75\textup{ cm}^3$

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 #136 : Geometry

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

Possible Answers:

$96\textup{ cm}^3$

$100.25\textup{ cm}^3$

$97.75\textup{ cm}^3$

$95.25\textup{ cm}^3$

$99\textup{ cm}^3$

Correct answer:

$99\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times4$

$A=99\textup{ cm}^3$

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 #137 : Geometry

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

Possible Answers:

$74.25\textup{ cm}^3$

$75.75\textup{ cm}^3$

$73\textup{ cm}^3$

$72.25\textup{ cm}^3$

$70.5\textup{ cm}^3$

Correct answer:

$74.25\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times3$

$A=74.25\textup{ cm}^3$

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 #138 : Geometry

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

Possible Answers:

$50\textup{ cm}^3$

$49.5\textup{ cm}^3$

$45\textup{ cm}^3$

$47.5\textup{ cm}^3$

$48.25\textup{ cm}^3$

Correct answer:

$49.5\textup{ cm}^3$

Explanation:

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

$A=l\times w\times h$

Substitute our side lengths:

$A=8\frac{1}{4}\times3\times2$

$A=49.5\textup{ cm}^3$

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 #1 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Select the graph that displays the polygon created using the following coordinates:

(5,-9)

(5,-3)

(-6,-9)

(-6,-3)

Possible Answers:

Plot 3

Plot 1

Plot 4

Plot 2

Correct answer:

Plot 1

Explanation:

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value (x,y) .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

Plot 1

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Example Question #2 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Select the graph that displays the polygon created using the following coordinates:

(2,11)

(2,5)

(-2,11)

(-2,5)

Possible Answers:

Plot 7

Plot 8

Plot 5

Plot 6

Correct answer:

Plot 5

Explanation:

Plot 5

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All Common Core: 6th Grade Math Resources

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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 #132 : Geometry

Example Question #73 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Example Question #133 : Geometry

Example Question #134 : Geometry

Example Question #135 : Geometry

Example Question #136 : Geometry

Example Question #137 : Geometry

Example Question #138 : Geometry

Example Question #1 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

Example Question #2 : Draw Polygons In The Coordinate Plane And Solve For Side Lengths: Ccss.Math.Content.6.G.A.3

All Common Core: 6th Grade Math Resources

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