Introduction to Volume of Composite Rectangles

Front

What is volume?

Back

Volume is the amount of space that a three-dimensional object occupies, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is a rectangular prism?

Back

A rectangular prism is a three-dimensional shape with six rectangular faces, where opposite faces are equal.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you find the volume of a rectangular prism?

Back

To find the volume of a rectangular prism, multiply its length (l), width (w), and height (h): Volume = l × w × h.

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CCSS.7.G.B.6

Front

What does 'cutting' a shape mean in volume problems?

Back

'Cutting' a shape means dividing a composite shape into simpler rectangular prisms to find their individual volumes.

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CCSS.5.MD.C.5C

Front

What is the first step when finding the volume of composite rectangles?

Back

The first step is to 'cut' the shapes into simpler rectangular prisms.

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CCSS.5.MD.C.5C

Front

After cutting the shapes, what should you find next?

Back

You should find the length (l), width (w), and height (h) of each rectangular prism.

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CCSS.7.G.B.6

Front

What do you do after finding the l, w, and h of both prisms?

Back

You find the volume of both prisms by using the formula Volume = l × w × h.

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CCSS.7.G.B.6

Front

If rectangle A has l=10, w=4, and h=2, what is its volume?

Back

Volume = 10 × 4 × 2 = 80 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If rectangle B has l=8, w=3, and h=2, what is its volume?

Back

Volume = 8 × 3 × 2 = 48 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the total volume of two rectangular prisms?

Back

The total volume is the sum of the volumes of both prisms.

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CCSS.5.MD.C.5C