Question

Mrs. Bhatia'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 32 cubic feet of space. How many boxes should she buy?

Answer 1

6.5 boxes

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.

According to the attachment

The first section has the following dimension:

`Width = 5ft`

`Length = 4ft`

`Height = 8ft`

The second has the following dimension:

`Width = 3ft` ---- see the last label at the top

`Length = 2ft` --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

`Height = 8ft`

So: The volume of the closet is:

`Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2`

`Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft`

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

`Volume = 208ft^3`

The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)

`Boxes = (208ft^3)/(32ft^3)`

`Boxes= (208)/(32)`

`Boxes = 6.5`