Finding Volume for Composite Rectangular Prisms

What is the first step when solving the volume of complex rectangular prisms?

• Subtract the sides.

• Find the volume of one prism.

• Increase the volume so you can find it easier.

• Find the area of the top.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

How do you find the volume of part A in the first example?

• 10 inches x 3 inches x 4 inches

• 4 inches x 3 inches x 4 inches

• 4 inches x 10 inches x 4 inches

• 3 inches x 4 inches x 3 inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the correct height used for part B in the first example?

• 10 inches

• 4 inches

• 7 inches

• 2 inches

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CCSS.2.MD.A.1

In the second example, what is the correct width to use for part B?

• 8 feet

• 2 feet

• 7 feet

• 5 feet

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CCSS.5.MD.C.5C

What is the total volume of the composite rectangular prism in the second example?

• 40 cubic feet

• 124 square feet

• 104 cubic feet

• 124 cubic feet

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CCSS.5.MD.C.5C

Why is it important to know multiple ways to divide a composite rectangular prism?

• To make sure you are accurate in calculations

• To make it more complex

• To compare with other prisms

• To find different volumes

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CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is the volume of this prism? (a)  

• 16 cubic cm
• 12 cubic cm
• 48 cubic cm

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CCSS.7.G.B.6

Ms. Blancarte is trying to solve for the volume of a rectangular prism. The length of the base is 14 inches and the width is 5cm. The height of the prism is 11 cm. Drag and drop values to complete the equation to solve for volume. Pay attention to what values are currently there.

b

c

14

5

70

30

11

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Does this rectangular prism have a volume of 12 cubic units? (a)  

• Yes, it has 12 unit cubes.
• No, it has LESS than 12 unit cubes.
• No, it has MORE than 12 unit cubes.

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CCSS.7.G.B.6

What is the volume of this rectangular prism?

Mathematical Equivalence

ON

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CCSS.7.G.B.6