A right rectangular prism has length 3 and one third yd, width 2 and one third yd, and height 1 and one third yd. You use cubes with fractional edge length one third yd to find the volume. How many cubes are there for each of the length, width, and height of the prism? Find the volume.

Volume of the rectangular prism = 280 cubes

Volume of the rectangular prism = (280/27) yd³

Step-by-step explanation:

length 3 and one third yd = 3 + (1/3) yd = (10/3) yd

width 2 and one third yd = 2 + (1/3) yd = (7/3) yd

height 1 and one third yd = 1 + (1/3) yd = (4/3) yd

Cubes of edge length (1/3) yd are used to fill the rectangular prism.

The length would contain (10/3) ÷ (1/3) = 10

The width would contain (7/3) ÷ (1/3) = 7

The height would contain (4/3) ÷ (1/3) = 4

Volume of the rectangular prism = 10×7×4 = 280 cubes

Or

Volume of rectangular prism = (10/3)(7/3)(4/3) = (280/27) yd³

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step-by-step explanation:

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