Question

Mrs. Anderson​'s closet consists of two​ sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moths away. She needs one box for every 16 cubic feet of space. How many boxes should she​ buy? Explain how you found the answer.

Answer 1

13 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

`Volume = Width * Length * Height`

From the attachment

The first section is:

`Width = 5ft\\ Length = 4ft\\ Height = 8ft`

`V_1 = 5ft * 4ft * 8ft`

`V_1 = 160ft^3`

The second section:

`Width = 3ft\\ Length = 2ft\\ Height = 8ft`

The width is the last label at the top

The length is the difference between the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

The volume is:

`V_2 = 3ft * 2ft * 8ft`

`V_2 = 48ft^3`

Total volume (V) is:

`V = V_1 + V_2`

`V = 160ft^3 + 48ft^3`

`V = 208ft^3`

The number of box (n) needed is then calculated by dividing the calculated volume of the closet by the volume of each box

`n = (208ft^3)/(16ft^3)`

`n = 13`