Answer: 284 cubes.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.
Knowing that the dimensions of this box are [tex]16cm*5cm*12cm[/tex], we get that the volume of the box is:
[tex]V_{box}=16cm *5cm *12cm=960cm^3[/tex]
The formula for calculate the volume of a cube is:
[tex]V=s^3[/tex]
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:
[tex]V_{cube}=(0.5cm)^3=3.375cm^3[/tex]
Dividing [tex]V_{box}[/tex] by [tex]V_{cube}[/tex] we get the greatest number of cubes that can fit in the box:
[tex]number\ of\ cubes=\frac{960cm^3}{3.375cm^3}=284[/tex]
Answer:
240 cubes
Step-by-step explanation:
16/1.5 = 10.6...
5/1.5 = 3.3...
12/1.5 = 8
10*3*8=240
