Question

question
how many cubical blocks, each with edges of length 2 centimeters, are needed to fill a rectangular box that has inside dimensions 10 centimeters by 12 centimeters by 16 centimeters?
240
480
960
1920

Explanation:

Step1: Calculate volume of one - cubic block

The volume formula for a cube is $V = s^3$, where $s$ is the side - length. Given $s = 2$ cm, so $V_{block}=2^3=8$ $cm^3$.

Step2: Calculate volume of the rectangular box

The volume formula for a rectangular box is $V = l\times w\times h$. Given $l = 10$ cm, $w = 12$ cm, and $h = 16$ cm. Then $V_{box}=10\times12\times16 = 1920$ $cm^3$.

Step3: Find the number of blocks

To find the number of blocks needed to fill the box, we divide the volume of the box by the volume of one block. Let $n$ be the number of blocks. Then $n=\frac{V_{box}}{V_{block}}=\frac{1920}{8}=240$.

Answer:

240