The measurement of the width is 3 ½ inch. The measurement of the length is 2½ inches. How many cubes with side lengths of 1/4 inch would be needed to fill the prism? What is the volume of the prism? Show how you found your answers.ĥ. The measurement of the height is 2 inches. The measurement of the length is 3/4 inches. How many cubes with side lengths of 1/2 inch would be needed to fill the prism? What is the volume of the prism? Show how you found your answers.Ĥ. The measurement of the width is 1 ½ inch. The measurement of the length is 4 1/2 inches. How many cubes with side lengths of 1/2 inch would be needed to fill the prism? What is the volume of the prism? Show how you found your answers.ģ. The measurement of the height is 4 inches. The measurement of the length is 1½ inches. How many cubes with side lengths of ¼ would be needed to fill the prism? What is the volume of the prism? Show how you found your answers.Ģ. The measurement of the height is 3¾ inches. The measurement of the length is 2 inches. Fill the prisms with unit cubes of the appropriate unit fraction edge lengths.ġ. Look at the right rectangular prisms below. The volume of the right rectangular prism is 9/4 x 2/4 x 4/4 = 72/64 or 1 8/64 or 1 1/8 cubic inches. It takes 72 – ¼ inch cubes to fill this right rectangular prism. It takes 9 x 2 x 4 cubes to fill this right rectangular prism. The right rectangular prism can be filled with ¼ inch cubes. It takes 64 – ¼ inch cubes to fill one unit cube. To find the volume of this right rectangular prism, fill it with ¼ inch cubes. The dimensions are 9/4, 2/4, and 4/4 inches. The measurement of the height is 1 inch.Ĭhange the dimensions of the right rectangular prism to improper-like fractions. The measurement of the width is 1/2 inch. The measurement of the length is 2¼ inches. Look at the right rectangular prism on the right. Materials Required: Unit Cubes, Calculator Lesson Procedure: Finding the Volume of a Right Rectangular Prism Lesson Objective: The lesson is aligned to the Common Core State Standards for Mathematics – 6.G.2 Geometry – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Students explore the connection between filling a prims with unit cubes and the volume formula. Introduction: Find volumes of right rectangular prisms by filling prisms with unit cubes with fractional edge lengths.
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