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Zen wants to fill a window box with soil. The length of the window box is 5 feet, width is 6 inches, and height is 9 inches. Each bag of soil contains 0.625 cubic foot of soil. How many bags of soil will Zen need to fill the window box completely?

[1 foot = 12 inches]

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Answer :

caylus
Hello,

Volume of the window box=5*1/2*3/4=15/8 (ft^3)
Volume of the bag=0.625= 5/8 (ft^3)

Number of bags of soil= (15/8)/(5/8)=15/8* 8/5=3 .
calculista

Answer:

[tex]3\ bags[/tex]

Step-by-step explanation:

we know that

The volume of the windows box is equal to

[tex]V=lwh[/tex]

where

l is the length side of the box

w is the width side of the box

h is the height of the box

In this problem we have

[tex]l=5\ ft[/tex]

[tex]w=6\ in[/tex] ------> convert to feet ----->[tex]6/12=0.5\ ft[/tex]  

[tex]h=9\ in[/tex] ------> convert to feet ----->[tex]9/12=0.75\ ft[/tex]

substitute the values

[tex]V=5*0.5*0.75=1.875\ ft^{3}[/tex]

Find how many bags of soil will Zen need to fill the window box completely

by proportion

[tex]\frac{1}{0.625}\frac{bag}{ft^{3}}=\frac{x}{1.875}\frac{bag}{ft^{3}}[/tex]

[tex]x=1.875/0.625\\x= 3\ bags[/tex]

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