Question

volume units of measure can be divided by linear units of measure. the container shown in figure 13 - 10 has a volume of 480 cm³ and a height of 6 cm. the area of the container top is determined by dividing the volume by the height. top area = \\( \frac{480\text{ cm}^3}{6\text{ cm}} = 80\text{ cm}^2 \\)

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula for a cylinder is \(V = A\times h\), where \(V\) is volume, \(A\) is the base (or top) area, and \(h\) is height.

Step2: Solve for the top - area \(A\)

We can rewrite the formula as \(A=\frac{V}{h}\). Given \(V = 480\space cm^{3}\) and \(h = 6\space cm\), then \(A=\frac{480}{6}\).

Step3: Calculate the value

\(\frac{480}{6}=80\).

Answer:

The area of the container top is \(80\space cm^{2}\).