Question

What is the greatest number of cubes with a side of 1.5cm that can fit in the box with dimensions 16cm ×5cm ×12cm? Please help me ASAP.

Answer 1

240 cubes

Explanation:

16/1.5 = 10.6...

5/1.5 = 3.3...

12/1.5 = 8

10*3*8=240

Answer 2

Answer: 284 cubes.

Explanation:

By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.

Knowing that the dimensions of this box are
`16cm*5cm*12cm`, we get that the volume of the box is:

`V_(box)=16cm *5cm *12cm=960cm^3`

The formula for calculate the volume of a cube is:

`V=s^3`

Where "s" is the lenght of a side.

Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:

`V_(cube)=(0.5cm)^3=3.375cm^3`

Dividing
`V_(box)` by
`V_(cube)` we get the greatest number of cubes that can fit in the box:

`number\ of\ cubes=(960cm^3)/(3.375cm^3)=284`