Exploring Area and Volume Concepts with Fractions

This video tutorial focuses on dividing fractions, specifically in the context of calculating area and volume. It explains how to find the area of rectangles using fractional side lengths and how to determine missing side lengths through division. The video also covers calculating the volume of rectangular prisms with both whole and fractional edge lengths, and how to find unknown edge lengths using division. The tutorial provides examples and step-by-step explanations to enhance understanding.

What is the area of a square with sides of 1/2 inch?

• 2 square inches

• 1 square inch

• 1/4 square inch

• 1/2 square inch

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How many times does the shaded area fit into the whole square inch?

• 8 times

• 6 times

• 2 times

• 4 times

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CCSS.3.MD.C.6

How do you find the area of a rectangle?

• Length plus width

• Length times width

• Length divided by width

• Width divided by length

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the reciprocal of 21/2?

• 2/21

• 21/2

• 4/21

• 1/2

What is the volume of a rectangular prism with edge lengths of 5, 3, and 2 units?

• 30 cubic units

• 60 cubic units

• 15 cubic units

• 10 cubic units

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CCSS.7.G.B.6

How do you calculate the volume of a rectangular prism with fractional edge lengths?

• Divide all edge lengths

• Multiply all edge lengths

• Add all edge lengths

• Subtract all edge lengths

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CCSS.7.G.B.6

What is the volume of a prism that is 4 inches long, 3/2 inches wide, and 1/2 inch tall?

• 2 cubic inches

• 3 cubic inches

• 4 cubic inches

• 6 cubic inches

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CCSS.7.G.B.6

How many little cubes with 1/2-inch edge length are needed to build a prism with a volume of 3 cubic inches?

• 36 cubes

• 48 cubes

• 24 cubes

• 12 cubes

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CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is the volume of one little cube with a 1/2-inch edge length?

• 1/12 cubic inch

• 1/8 cubic inch

• 1/6 cubic inch

• 1/4 cubic inch

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

If a rectangular prism's volume is 412 1/2 cubic centimeters and two edge lengths are 11/2 cm and 9 cm, what is the third edge length?

• 10 1/3 cm

• 9 1/3 cm

• 8 1/3 cm

• 7 1/3 cm

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CCSS.7.EE.B.3