Question

Janel bought a shelving unit in the shape of a rectangular prism measuring 6 feet by 3 feet by 1 foot. The shelving unit is made up of cubes measuring 1.5 foot by 1.5 foot by 1 foot. How many cubes make up the shelving unit?

Answer 1

8 cubes

Explanation:

Given

Prism

Dimension: 6 ft by 3 ft by 1 ft

Cube

Dimension: 1.5 ft by 1.5 ft by 1 ft

Required

The number of cubes in the prism

First, calculate the volume of the prism

`V_1 = 6 * 3 * 1ft^3`

`V_1 = 18ft^3`

Next, the volume of the cube

`V_2 =1.5 * 1.5 * 1ft^3`

`V_2 =2.25ft^3`

The number of cubes is calculated by dividing V1 by V2

`Cubes = (V_1)/(V_2)`

`Cubes = (18)/(2.25)`

`Cubes = 8`