Question

Huong packed 189 cubes into small, rectangular, empty box. The cubes cimpletely filled the box. The edge length of each cube was 1/2 of an inch. Which statement correctly finds justifies the box's volume based on the number of cubes packed into it ?

Answer 1

See Explanation

Explanation:

Given

Cube:

`L = (1)/(2)\ in`

`Cubes = 189`

The question is incomplete. However, I will solve for the volume of the rectangular box.

First, calculate the volume of 1 cube.

`Volume = Length^3`

`V_1 = L^3`

`V_1 = (1)/(2)^3`

`V_1 = (1)/(8)`

The volume of the box is calculated by multiplying the number of cubes by the volume of the cube.

`V_2 = 189 * V_1`

`V_2 = 189 * (1)/(8)\ in^3`

`V_2 = (189)/(8)\ in^3`

`V_2 = 23.625\ in^3`

The volume of the box is
`23.625\ in^3`