Question

A right rectangular prism is packed with cubes of side length Fraction 1 over 3 inch. If the prism is packed with 6 cubes along the length, 4 cubes along the width, and 8 cubes along the height, what is the volume of the prism?

Fraction 7 and 1 over 9 cubic inches
Fraction 17 and 7 over 9 cubic inches
16 cubic inches
192 cubic inches

Answer 1

Length of prism = 1/3 x 6 = 2 inches
Width of prism = 1/3 x 4 = 4/3 inches
Height of prism = 1/3 x 8 = 8/3 inches

Volume of prism = 2 x 4/3 x 8/3 = 7 1/9 cubic inches