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

Answer 2

Answer:

The correct answer is :7 and 1 over 9 cubic inches  that is $7\frac{1}{9} inches^3$.

Step-by-step explanation:

Length of the cube = a =$\frac{1}{3} inch$

Volume of the cube = V

V= $a^3$ = $(\frac{1}{3} inch)^3=\frac{1}{27} inch^3$

Right rectangular prism is packed with these cubes:

Number of cubes placed along the length = 6 cubes

Number of cubes placed along the width = 4 cubes

Number of cubes placed along the height = 8 cubes

Total number of cubes in the right rectangular prism = 6 × 4 × 8 = 192 cubes

Volume of the right rectangular prism :

Number of cubes × Volume of cube

$= 192\times \frac{1}{27} inch^3=7\frac{1}{9} inches^3$