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blondinia [14]
3 years ago
12

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.
Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

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 = \frac{208ft^3}{16ft^3}

n = 13

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