Question

1. volume may be described as the
2. what is the maximum number of unit cubes (1 cm³) that the box below can hold?

if the volume of the cylinder to the left is 100 cm³ and the area of the circle is 20 cm², what is the height of the cylinder?

Explanation:

Step1: Recall cylinder volume formula

The volume formula of a cylinder is $V = A\times h$, where $V$ is volume, $A$ is the base - area and $h$ is the height.

Step2: Substitute given values

We know that $V = 100\ cm^{3}$ and $A=20\ cm^{2}$. Substituting into the formula $h=\frac{V}{A}$.

Step3: Calculate the height

$h=\frac{100}{20}=5$ cm.

For the second part, the volume of the box is $V_{box}=l\times w\times h$. Given $l = 15$ m, $w = 5$ cm, $h = 10$ cm. First, convert the length to cm if needed (assuming there is a unit - conversion error, if it's 15 cm). Then $V_{box}=15\times5\times10 = 750$ $cm^{3}$. The number of unit - cubes (each with volume $1\ cm^{3}$) that the box can hold is equal to the volume of the box. So the number of unit - cubes is 750.

Answer:

1. The height of the cylinder is 5 cm.
2. The maximum number of unit - cubes that the box can hold is 750.