Exploring Volume of Prisms

This video tutorial covers Chapter 9, Section 4, focusing on finding the volume of prisms. It begins with an introduction to the concept of volume and the formula for calculating the volume of prisms. The video provides examples of calculating the volume of both rectangular and triangular prisms, followed by a practice problem for viewers to solve. The tutorial emphasizes understanding the base area and height in the volume formula and encourages viewers to practice independently.

What is volume?

• The length of an object

• The weight of an object

• The surface area of an object

• The measurement of space inside an object

Tags

CCSS.7.G.B.6

Which formula is used to calculate the volume of a prism?

• Base Perimeter x Height

• Length x Width x Height

• Base Area x Height

• Length x Width

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

What are the dimensions of the rectangular box used in the example?

• 5in x 10in x 2in

• 4in x 10in x 3in

• 3in x 10in x 4in

• 4in x 11in x 3in

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CCSS.7.G.B.6

What is the volume of the rectangular prism discussed in the example?

• 130 cubic inches

• 120 cubic inches

• 110 cubic inches

• 100 cubic inches

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CCSS.7.G.B.6

How do you find the area of the base of a triangular prism?

• (Base + Height) / 2

• Base x Height

• Base x Height / 2

• Base x Height x 2

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CCSS.7.G.B.6

What is the volume of the triangular prism discussed in the example?

• 144 cubic centimeters

• 154 cubic centimeters

• 124 cubic centimeters

• 134 cubic centimeters

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the importance of matching the top and bottom shapes in a prism?

• To ensure stability

• To make it look symmetrical

• There is no importance

• To calculate the volume correctly

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CCSS.1.G.A.1

CCSS.2.G.A.1

What was the height of the triangular prism in the challenge problem?

• 10 inches

• 9 inches

• 8 inches

• 7 inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the final volume calculated for the challenge problem?

• 321.8 cubic inches

• 331.8 cubic inches

• 341.8 cubic inches

• 351.8 cubic inches

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CCSS.2.MD.A.3

Why is it important to include units in your answer?

• To indicate the type of measurement

• To follow mathematical conventions

• To make the answer look complete

• All of the above

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CCSS.2.MD.A.3