Question

if the box holds 24 of these sugar cubes,what is the total volume of the box?

Answer 1

Answer:

$V_{box}=3u^{3}$

Step-by-step explanation:

The complete question is

If the box holds 24 of these sugar cubes what is the total volume of the box.

The sugar cubes are 1/2 x 1/2 x 1/2

The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.

The volume of one sugar cube

$V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8} u^{3}$

We have 24 of them, so the volume of the whole box is

$V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}$

Therefore, the volume of the box is

$V_{box}=3u^{3}$