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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?

Sagot :

MrRoyalidn

Answer:

8 cubes

Step-by-step 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

[tex]V_1 = 6 * 3 * 1ft^3[/tex]

[tex]V_1 = 18ft^3[/tex]

Next, the volume of the cube

[tex]V_2 =1.5 * 1.5 * 1ft^3[/tex]

[tex]V_2 =2.25ft^3[/tex]

The number of cubes is calculated by dividing V1 by V2

[tex]Cubes = \frac{V_1}{V_2}[/tex]

[tex]Cubes = \frac{18}{2.25}[/tex]

[tex]Cubes = 8[/tex]

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