Mathematics: What is the greatest number of cubes with a side of 1.5cm that can fit in the box with dimensions 16cm ×5cm ×12cm?

What is the greatest number of cubes with a side

Ответ:

whiteshawn0250

03.01.2022

Mathematics

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:

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

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Ответ:

AriaMartinez

12.09.2021

Mathematics

You would have $660. The trick for 10% of something is to move the decimal one place to the left. The decimal is “hidden” to the right of the last 0. Add that interest on to get your answer!! Good luck!

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

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