Question

a restaurant owner has a large trash container in the shape of rectangular prism with a height of 4 ft and a base that is 4 ft wide by 6 ft long.
during a one-month period the container needed to be emptied 4 times.
how many cubic feet of trash were taken away during the month?
96 ft³
102 ft³

Explanation:

Step1: Calculate the volume of the trash container

The volume \(V\) of a rectangular prism is given by the formula \(V = l\times w\times h\), where \(l = 6\) ft (length), \(w = 4\) ft (width), and \(h = 4\) ft (height).

$$V=6\times4\times4$$

$$V = 96\mathrm{ft}^3$$

Step2: Calculate the total volume of trash taken away

Since the container was emptied 4 times, we multiply the volume of the container by 4.

$$96\times4 = 384\mathrm{ft}^3$$

Answer:

\(384\mathrm{ft}^3\)