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 m

Question

4 years ago

15

e ASAP.

1 answer:

Vitek1552 [10] · Answer 1 · 2022-02-21T17:54:51+03:00

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 $16cm*5cm*12cm$ , 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:

$number\ of\ cubes=\frac{960cm^3}{3.375cm^3}=284$