Videos and solutions to help grade 6 students learn that volume is additive and apply volume formulas to determine the volume of composite solid figures in real-world contexts.

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Common Core For Grade 6

### New York State Common Core Math Module 5, Grade 6, Lesson 14

Lesson 14 Student Outcomes

• Students understand that volume is additive and apply volume formulas to determine the volume of composite solid figures in real-world contexts.

• Students apply volume formulas to find missing volumes and missing dimensions.

Lesson 14 Classwork

Example 1

Part A: The area of the base of a sandbox is 9 1/2 ft^{2}. The volume of the sand box is 7 1/8 ft^{3}. Determine the height of the
sand box.

Part B: The sand box was filled with sand, but after kids played, some of the sand spilled out. Now the sand is at a height of 1/2 ft. Determine the volume of the sand.

Example 2

A special order sand box has been created for children to use as an archeological digging area at the zoo. Determine the volume of the sand box.**Problem Set**

1. The volume of a rectangular prism is 21/12 ft^{3}, and the height of the prism is 3/4 ft. Determine the area of the base.

2. The volume of a rectangular prism is 10/21 ft^{3}. The area of the base is 2/3 ft^{2}. Determine the height of the rectangular prism.

3. Determine the volume of the space in the tank that still needs to be filled with water if the water is 1/3 ft. deep.

4. Determine the volume of the composite figure.

5. Determine the volume of the composite figure.

6. a. Write an equation to represent the volume of the composite figure.

b. Use your equation to calculate the volume of the composite figure.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics:

Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

• Students understand that volume is additive and apply volume formulas to determine the volume of composite solid figures in real-world contexts.

• Students apply volume formulas to find missing volumes and missing dimensions.

Lesson 14 Classwork

Example 1

Part A: The area of the base of a sandbox is 9 1/2 ft

Part B: The sand box was filled with sand, but after kids played, some of the sand spilled out. Now the sand is at a height of 1/2 ft. Determine the volume of the sand.

Example 2

A special order sand box has been created for children to use as an archeological digging area at the zoo. Determine the volume of the sand box.

1. The volume of a rectangular prism is 21/12 ft

2. The volume of a rectangular prism is 10/21 ft

3. Determine the volume of the space in the tank that still needs to be filled with water if the water is 1/3 ft. deep.

4. Determine the volume of the composite figure.

5. Determine the volume of the composite figure.

6. a. Write an equation to represent the volume of the composite figure.

b. Use your equation to calculate the volume of the composite figure.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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