Diego correctly points out that 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism that is 3 inches by 1 inch by 1/3 inch. What is the volume, in cubic inches, of the rectangular prism? Show your reasoning. A. 64 cubic inches B. 4 in C. 4 cubic inches

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Formula used :

Volume of cube = a³

a, side = 1/ 3 inch

Volume of cube = (1/ 3)³

= 1/ 27 4 cubic inches

Number of cubes= 108 

Volume of rectangular prism = 108 × 1/ 27

= 4 cubic inches 

Related Questions