Question

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.

Answer 1

Answer:

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