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